Celebratio Mathematica

Antoni Zygmund

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W. Si­er­piński and A. Zyg­mund: “Sur une fonc­tion qui est dis­con­tin­ue sur tout en­semble de puis­sance du con­tinu” [On a func­tion which is dicon­tinu­ous on all sets of con­tinuum power], Fun­dam. Math. 4 (1923), pp. 316–​318. JFM 49.​0179.​02 article

A. Zyg­mund: “Sur la théor­ie rieman­ni­enne des séries tri­go­nométriques” [On the rieman­ni­an the­ory of tri­go­no­met­ric series], C. R. Acad. Sci., Par­is 177 (1923), pp. 521–​523. Er­rata for this art­icle were pub­lished in C. R. Acad. Sci., Par­is 177 (1923). JFM 49.​0198.​07 article

A. Zyg­mund: “Sur les séries tri­go­nométriques” [On tri­go­no­met­ric series], C. R. Acad. Sci., Par­is 177 (1923), pp. 576–​579. JFM 49.​0198.​08 article

A. Zyg­mund: [Dis­ser­ta­tion on the Rieman­ni­an the­ory of tri­go­no­met­ric series]. Ph.D. thesis, Uni­versity of Warsaw, 1923. Ad­vised by A. Ra­jch­man and S. Mazurkiewicz. phdthesis

A. Zyg­mund: “Er­rata: ‘Sur la théor­ie rieman­ni­enne des séries tri­go­nométriques’” [Er­rata: ‘On the rieman­ni­an the­ory of tri­go­no­met­ric series’], C. R. Acad. Sci., Par­is 177 (1923), pp. 804. Er­rata for an art­icle pub­lished in C. R. Acad. Sci., Par­is 177 (1923). article

A. Zyg­mund: “Sur une général­isa­tion de la meth­ode de Cesàro” [On a gen­er­al­iz­a­tion of the meth­od of Cesàro], C. R. Acad. Sci., Par­is 179 (1924), pp. 870–​872. JFM 50.​0157.​03 article

S. Saks and A. Zyg­mund: “Sur les fais­ceaux des tan­gentes à une courbe” [On the sheaves of tan­gents to a curve], Fund. Math. 6 (1924), pp. 117–​121. JFM 50.​0187.​03 article

A. Zyg­mund: “Sur les séries de Four­i­er re­streintes” [On re­stric­ted Four­i­er series], C. R. Acad. Sci., Par­is 178 (1924), pp. 181–​182. JFM 50.​0202.​01 article

A. Zyg­mund: “Sur la dériv­a­tion des séries de Four­i­er” [On the de­riv­a­tion of Four­i­er series], Bull. Acad. Po­lon. A 1924 (1924), pp. 243–​249. JFM 51.​0218.​01 article

A. Zyg­mund: “Sur la som­ma­tion des séries tri­go­nométriques con­juguées aux séries de Four­i­er” [On the sum­ma­tion of tri­go­no­met­ric series con­jug­ate to Four­i­er series], Bull. Acad. Po­lon. A 1924 (1924), pp. 251–​258. JFM 51.​0224.​01 article

A. Zyg­mund: “O mod­ule ciagłości sumy szeregu sprz­ce­dillaoneżone­go z szere­giem Four­i­era” [On the con­tinu­ity mod­ule of the sum of series con­jug­ate to a Four­i­er series], Prace Mat.-Fiz. 33 (1924), pp. 125–​132. With French sum­mary. JFM 52.​0274.​03 article

A. Zyg­mund: “Sur un théorème de M. Mar­cel Riesz” [On a the­or­em of M. Mar­cel Riesz], Ann. Soc. Po­lon. Math. 3 (1925), pp. 153. JFM 51.​0186.​11 article

A. Ra­jch­man and A. Zyg­mund: “Sur les prin­cipes et les problèmes de la théor­ie rieman­ni­enne des séries tri­go­nométriques” [On the prin­ciples and prob­lems from the rieman­ni­an the­ory of tri­go­no­met­ric series], Ann. Soc. Po­lon. Math. 3 (1925), pp. 147–​148. JFM 51.​0236.​10 article

A. Zyg­mund: “Sur la som­ma­tion des séries tri­go­nométriques et celles de puis­sances par les moy­ennes ty­piques” [On the sum­ma­tion of tri­go­no­met­ric series and power series for typ­ic­al means], C. R. Acad. Sci., Par­is 181 (1925), pp. 1122–​1123. JFM 51.​0244.​02 article

S. Saks and A. Zyg­mund: “Un teor­ema sulle curve con­tin­ue” [A the­or­em on con­tinu­ous curves], Boll. Un. Mat. It­al. 4 (1925), pp. 7–​10. JFM 51.​0537.​03 article

A. Ra­jch­mann and A. Zyg­mund: “Sur la re­la­tion du procédé de som­ma­tion de Cesàro et ce­lui de Riemann” [On the re­la­tion of the sum­ma­tion pro­ced­ure of Cesàro and that of Riemann], Bul­let­in Acad. Polon­aise 1925 (1925), pp. 69–​80. Ad­denda to this were pub­lished in Acta Math. 52:1 (1929). JFM 52.​0217.​03 article

A. Zyg­mund: “Sur la som­ma­tion des séries par les procédé des moy­ennes ty­piques” [On the sum­ma­tion of series for the pro­ced­ure of typ­ic­al av­er­ages], Bull. Acad. Po­lon. A 1925 (1925), pp. 265–​287. JFM 52.​0218.​01 article

A. Zyg­mund: “Sur la som­mab­il­ité des séries de Four­i­er des fonc­tions véri­fi­ant la con­di­tion de Lipschitz” [On the sum­mab­il­ity of Four­i­er series of func­tions sat­is­fy­ing the Lipschitz con­di­tion], Bull. Acad. Po­lon. A 1925 (1925), pp. 1–​9. JFM 52.​0271.​02 article

A. Zyg­mund: “Sur un théorème de M. Gron­wall” [On a the­or­em of M. Gron­wall], Bull. Acad. Po­lon. A 1925 (1925), pp. 207–​217. JFM 52.​0271.​04 article

A. Zyg­mund: “Re­marque sur la som­mab­il­ité des séries de fonc­tions or­tho­gonales” [Re­mark on the sum­mab­il­ity of series of or­tho­gon­al func­tions], Bull. Acad. Po­lon. A 1926 (1926), pp. 185–​191. JFM 52.​0277.​03 article

A. Zyg­mund: “Con­tri­bu­tion à l’uni­cité du dévelop­pe­ment tri­go­nométrique” [Con­tri­bu­tion to the unique­ness of tri­go­no­met­ric de­vel­op­ment], Math. Z. 24 : 1 (1926), pp. 40–​46. MR 1544747 JFM 51.​0219.​03 article

A. Zyg­mund: “Sur la théor­ie rieman­ni­enne des séries tri­go­nométriques” [On the rieman­ni­an the­ory of tri­go­no­met­ric series], Math. Z. 24 : 1 (1926), pp. 47–​104. MR 1544748 JFM 51.​0219.​04 article

A. Ra­jch­man and A. Zyg­mund: “Sur la pos­sib­il­ité d’ap­pli­quer la méthode de Riemann aux séries tri­go­nométriques som­mables par le procédé de Pois­son” [On the pos­sib­il­ity of ap­ply­ing Riemann’s meth­od to tri­go­no­met­ric series sum­mable by the Pois­son pro­ced­ure], Math. Z. 25 : 1 (1926), pp. 261–​273. MR 1544808 JFM 52.​0272.​01 article

A. Zyg­mund: “Sur les séries tri­go­nométriques som­mables par le procédé de Pois­son” [On tri­go­no­met­ric series sum­mable by the Pois­son pro­ced­ure], Math. Z. 25 : 1 (1926), pp. 274–​290. MR 1544809 JFM 52.​0272.​02 article

A. Zyg­mund: “Sur un théorème de la théor­ie de la som­mab­il­ité” [On a the­or­em from the the­ory of sum­mab­il­ity], Math. Z. 25 : 1 (1926), pp. 291–​296. MR 1544810 JFM 52.​0217.​02 article

A. Zyg­mund: “Une re­marque sur un théorème de M. Kaczmarz” [A re­mark on a the­or­em of M. Kaczmarz], Math. Z. 25 : 1 (1926), pp. 297–​298. MR 1544811 JFM 52.​0278.​01 article

A. Zyg­mund: “Über ein­ige Sätze aus der The­or­ie der di­ver­gen­ten Reihen” [On a few the­or­ems from the the­ory of di­ver­gent series], Bull. Acad. Po­lon. A 1927 (1927), pp. 309–​331. JFM 53.​0190.​02 article

A. Zyg­mund: “Re­marque sur les sommes pos­it­ives des séries tri­go­nométriques” [Re­mark on some pos­it­ive sums of tri­go­no­met­ric series], Bull. Acad. Po­lon. A 1927 (1927), pp. 331–​341. JFM 53.​0256.​01 article

A. Zyg­mund: “Re­marque sur un théorème de M. Fekete” [Re­mark on a the­or­em of M. Fekete], Bull. Acad. Po­lon. A 1927 (1927), pp. 343–​347. JFM 53.​0256.​02 article

A. Zyg­mund: “Sur la som­ma­tion des sèries de fonc­tions or­tho­gonales” [On the sum­ma­tion of series of or­tho­gon­al func­tions], Bull. Acad. Po­lon. A 1927 (1927), pp. 295–​308. JFM 53.​0266.​01 article

A. Zyg­mund: “Sur l’ap­plic­a­tion de la première moy­enne arith­métique dans la théor­ie des séries de fonc­tions or­tho­gonales” [On the ap­plic­a­tion of the first arith­met­ic mean to the the­ory of series of or­tho­gon­al func­tions], Fun­dam. Math. 10 (1927), pp. 356–​362. JFM 53.​0267.​04 article

A. Zyg­mund: “Sur les fonc­tions con­juguées” [On con­jug­ate func­tions], C. R. Acad. Sci., Par­is 187 (1928), pp. 1025–​1026. Re­search an­nounce­ment for an art­icle pub­lished in Fun­dam. Math. 13 (1929). JFM 54.​0307.​02 article

A. Zyg­mund: “Über die Bez­iehun­gen der Eindeut­igkeits­fra­gen in den The­ori­en der tri­go­no­met­rischen Reihen und In­teg­rale” [On the ques­tion of unique­ness re­la­tions in the the­ory of tri­go­no­met­ric series and in­teg­rals], Math. Ann. 99 : 1 (1928), pp. 562–​589. MR 1512466 JFM 54.​0320.​03 article

A. Zyg­mund: “Re­marque sur la con­ver­gence ab­solue des series de Four­i­er” [Re­mark on the ab­so­lute con­ver­gence of Four­i­er series], J. Lon­don Math. Soc. 3 : 3 (1928), pp. 194–​196. MR 1574161 JFM 54.​0303.​01 article

A. Zyg­mund: “Sur la con­ver­gence ab­solue des séries de Four­i­er” [On the ab­so­lute con­ver­gence of Four­i­er series], Ann. Soc. Po­lon. Math. 7 (1929), pp. 266–​267. JFM 55.​0170.​16 article

A. Zyg­mund: “Sur le problème d’uni­cité pour cer­taines sys­tèmes or­tho­gonaux” [On the prob­lem of unique­ness for cer­tain or­tho­gon­al sys­tems], Ann. Soc. Math. 7 (1929), pp. 267. JFM 55.​0170.​17 article

A. Zyg­mund: “Sur les fonc­tions con­juguées” [On con­jug­ate func­tions], Fun­dam. Math. 13 (1929), pp. 284–​303. Er­rata and re­marks for this art­icle were pub­lished in Fund. Math. 18 (1932). A re­search an­nounce­ment was pub­lished in C. R. Acad. Sci., Par­is 187 (1928). JFM 55.​0751.​02 article

A. Zyg­mund: “Uwaga o funk­c­jach ciagłych ni­er­óżn­iczkowal­nych” [A re­mark on nondif­fer­en­ti­able con­tinu­ous func­tions], Math­es­is Pol­ska 4 : 1–​2 (1929), pp. 1–​7. JFM 57.​1397.​04 article

A. Ra­jch­man and A. Zyg­mund: “Ad­denda: ‘Sur la re­la­tion du procédé de som­ma­tion de Cesàro et ce­lui de Riemann’” [Ad­denda: ‘On the re­la­tion of the sum­ma­tion pro­ced­ure of Cesàro and that of Riemann’], Acta Math. 52 : 1 (1929), pp. A80. Ad­denda to an art­icle pub­lished in Bul­let­in Acad. Polon­aise 1925 (1925). MR 1555288 article

A. Zyg­mund: “Über ein­seit­ige Lokalisa­tion” [On one-sided loc­al­isa­tions], Jahresber. Dtsch. Math.-Ver. 39 (1930), pp. 47–​52. JFM 56.​0245.​01 article

A. Zyg­mund: “A note on series of sines,” Q. J. Math., Oxf. Ser. 1 : 1 (1930), pp. 102–​107. JFM 56.​0245.​02 article

A. Zyg­mund: “Re­marques sur les en­sembles d’uni­cité dans quelques sys­tèmes or­tho­gonaux” [Re­marks on unique sets in some or­tho­gon­al sys­tems], pp. 309–​311 in Atti del Con­gresso In­ternazionale dei Matem­atici [Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians] (Bo­logna, 3–10 Septem­ber 1928), vol. 2. Nic­ola Zanichelli (Bo­logna), 1930. JFM 56.​0245.​03 incollection

A. Zyg­mund: “On the con­ver­gence of la­cun­ary tri­go­no­met­ric series,” Fun­dam. Math. 16 (1930), pp. 90–​107. JFM 56.​0252.​01 article

R. E. A. C. Pa­ley and A. Zyg­mund: “On some series of func­tions, I,” Proc. Camb. Philos. Soc. 26 : 3 (July 1930), pp. 337–​357. JFM 56.​0254.​01 article

R. E. A. C. Pa­ley and A. Zyg­mund: “On the par­tial sums of Four­i­er series,” Stud. Math. 2 (1930), pp. 221–​227. JFM 56.​0940.​03 article

A. Zyg­mund: “Un théorème sur les séries or­tho­gonales” [A the­or­em on or­tho­gon­al series], Stud. Math. 2 (1930), pp. 181–​182. JFM 56.​0944.​03 article

A. Zyg­mund: “Sur la théor­ie rieman­ni­enne de cer­tains sys­tèmes oth­o­gonaux, I” [On the rieman­ni­an the­ory of cer­tain or­tho­gon­al sys­tems, I], Stud. Math. 2 (1930), pp. 97–​170. Part II was pub­lished in Prace Mat.-Fiz. 39 (1932). JFM 56.​0945.​01 article

A. Zyg­mund: “O pew­nych ni­er­ównościach” [On some in­equal­it­ies], Math­es­is Pol­ska 5 : 5–​6 (1930), pp. 83–​100. JFM 57.​1374.​03 article

A. Zyg­mund: “Sur les séries tri­go­nométriques la­cun­aires” [On la­cun­ary tri­go­no­met­ric series], J. Lon­don Math. Soc. 5 : 2 (1930), pp. 138–​145. Cor­ri­genda to this art­icle were pub­lished in J. Lon­don Math. Soc 5:4 (1930). MR 1574219 JFM 56.​0251.​03 article

A. Zyg­mund: “Cor­ri­genda: ‘Sur les séries tri­go­nométriques la­cun­aires’” [Cor­ri­genda: ‘On la­cun­ary tri­go­no­met­ric series’], J. Lon­don Math. Soc. 5 : 4 (1930), pp. 272. Cor­ri­genda to an art­icle pub­lished in J. Lon­don Math. Soc 5:2 (1930). MR 1574569 article

A. Zyg­mund: “On a the­or­em of Os­trowski,” J. Lon­don Math. Soc. 6 : 3 (1931), pp. 162–​163. MR 1574733 JFM 57.​0374.​02 Zbl 0002.​18902 article

A. Zyg­mund: “On a the­or­em of Privaloff,” Stud. Math. 3 (1931), pp. 239–​247. JFM 57.​0321.​01 Zbl 0003.​20401 article

A. Zyg­mund: “Quelques théoremes sur les séries tri­go­nométriques et celles de puis­sances” [Some the­or­ems on tri­go­no­met­ric series and power series], Stud. Math. 3 (1931), pp. 77–​91. JFM 57.​0317.​02 Zbl 0003.​25301 article

A. Zyg­mund: “O pew­nych za­gad­ni­e­niach teorji szeregów trygo­no­metrycz­nych” [On some ques­tions in the the­ory of tri­go­no­met­ric series], Math­es­is Pol­ska 7 (1932), pp. 49–​58. JFM 58.​0268.​04 article

A. Zyg­mund: “Er­rata and re­marks for my art­icle ‘On con­jug­ate func­tions’,” Fun­dam. Math. 18 (1932), pp. 312. Er­rata and re­marks for an art­icle pub­lished in Fund. Math. 13 (1929). JFM 58.​0295.​03 article

A. Zyg­mund: “On la­cun­ary tri­go­no­met­ric series,” Bull. Am. Math. Soc. 38 : 5 (1932), pp. 344. Ab­stract only. Ab­stract for an art­icle pub­lished in Trans. Am. Math. Soc. 34:3 (1932). JFM 58.​0296.​09 article

A. Zyg­mund: “Sur un théorème de M. Pólya” [On a the­or­em of M. Pólya], pp. 38 in Ver­hand­lun­gen des In­ter­na­tionalen Math­em­atiker-Kon­gresses [Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians] (Z/”urich, 4–12 Septem­ber 1932), vol. 2. Edi­ted by W. Saxn­er. Orell Füss­li (Zürich and Leipzig), 1932. Ab­stract only. JFM 58.​0353.​02 incollection

A. Zyg­mund: “On la­cun­ary tri­go­no­met­ric series,” Trans. Am. Math. Soc. 34 : 3 (1932), pp. 435–​446. An ab­stract for this art­icle was pub­lished in Bull. Am. Math. Soc. 38:5 (1932). MR 1501647 JFM 58.​0280.​01 Zbl 0005.​06303 article

A. Zyg­mund: “A re­mark on con­jug­ate series,” Proc. Lon­don Math. Soc. (2) 34 : 1 (1932), pp. 392–​400. MR 1576159 JFM 58.​0276.​01 Zbl 0005.​35301 article

R. E. A. C. Pa­ley and A. Zyg­mund: “A note on ana­lyt­ic func­tions in the unit circle,” Proc. Camb. Philos. Soc. 28 : 3 (July 1932), pp. 266–​272. JFM 58.​1076.​03 Zbl 0005.​06602 article

A. Zyg­mund: “Sur la théor­ie rieman­ni­enne de cer­tains sys­tèmes or­tho­gonaux, II” [On the rieman­ni­an the­ory of cer­tain or­tho­gon­al sys­tems, II], Prace Mat.-Fiz. 39 (1932), pp. 73–​117. Part I was pub­lished in Stud. Math. 2 (1930). JFM 58.​0289.​01 Zbl 0005.​29004 article

R. E. A. C. Pa­ley and A. Zyg­mund: “On some series of func­tions, III,” Proc. Camb. Philos. Soc. 28 : 2 (1932), pp. 190–​205. JFM 58.​1070.​01 Zbl 0006.​19802 article

A. Zyg­mund: “On con­tinu­ab­il­ity of power series,” Acta Litt. Sci. Szeged 6 : 2–​3 (1932–1934), pp. 80–​84. JFM 59.​0322.​02 Zbl 0007.​31202 article

A. Zyg­mund: “O zachow­aniu sie pew­nych szeregów funk­cyj­nych” [On the be­ha­vi­or of some func­tion series], Math­es­is Pol­ska 8 (1933), pp. 76–​87. JFM 59.​1015.​02 article

R. E. A. C. Pa­ley, N. Wien­er, and A. Zyg­mund: “Notes on ran­dom func­tions,” Math. Z. 37 : 1 (1933), pp. 647–​668. MR 1545426 JFM 59.​1015.​01 Zbl 0007.​35402 article

A. Zyg­mund: “On an in­teg­ral in­equal­ity,” J. Lond. Math. Soc. 8 : 3 (1933), pp. 175–​178. MR 1574115 JFM 59.​0992.​02 Zbl 0007.​30205 article

A. Zyg­mund: “Some points in the the­ory of tri­go­no­met­ric and power series,” Bull. Am. Math. Soc. 40 : 3 (1934), pp. 210. Ab­stract only. Re­search an­nounce­ment for an art­icle pub­lished in Trans. Am. Math. Soc. 36:3 (1934). JFM 60.​0242.​01 article

A. Zyg­mund: “Some points in the the­ory of tri­go­no­met­ric and power series,” Trans. Am. Math. Soc. 36 : 3 (1934), pp. 586–​617. A re­search an­nounce­ment for this art­icle was pub­lished in Bull. Am. Math. Soc. 40:3 (1934). MR 1501757 JFM 60.​0988.​01 Zbl 0010.​06201 article

S. Saks and A. Zyg­mund: “On func­tions of rect­angles and their ap­plic­a­tion to ana­lyt­ic func­tions,” Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2) 3 : 1 (1934), pp. 27–​32. MR 1556719 JFM 60.​0243.​01 article

A. Zyg­mund: “On the dif­fer­en­ti­ab­il­ity of mul­tiple in­teg­rals,” Fun­dam. Math. 23 (1934), pp. 143–​149. JFM 60.​0219.​02 Zbl 0010.​01404 article

A. Zyg­mund: Tri­go­no­met­ric­al series. Mono­grafie Matematyczne 5. Pol­ska Aca­demia Nauk (Warsaw), 1935. Re­prin­ted in 1952 and 1955, then ex­pan­ded in­to volumes I and II in 1959. These were later trans­lated in­to Rus­si­an (1965), then com­bined back in­to a single Eng­lish volume, be­ing re­pub­lished in 1969, 1977, 1988 and 2002. JFM 61.​0263.​03 Zbl 0011.​01703 book

B. Jessen, J. Mar­cinkiewicz, and A. Zyg­mund: “Note on the dif­fer­en­ti­ab­il­ity of mul­tiple in­teg­rals,” Fun­dam. Math. 25 (1935), pp. 217–​234. JFM 61.​0255.​01 Zbl 0012.​05901 article

A. Zyg­mund: “Sur le ca­ra­ctère de di­ver­gence des séries or­tho­gonales” [On the char­ac­ter of di­ver­gence of or­tho­gon­al series], Math­em­at­ica, Cluj 9 (1935), pp. 86–​88. JFM 61.​1121.​03 Zbl 0014.​01402 article

J. Mar­cinkiewicz and A. Zyg­mund: “On the dif­fer­en­ti­ab­il­ity of func­tions and sum­mab­il­ity of tri­go­no­met­ric­al series,” Fun­dam. Math. 26 (1936), pp. 1–​43. JFM 62.​0287.​01 Zbl 0014.​11102 article

A. Zyg­mund: “A re­mark on Four­i­er trans­forms,” Proc. Camb. Philos. Soc. 32 : 2 (1936), pp. 321–​327. JFM 62.​0468.​02 Zbl 0014.​25803 article

A. Zyg­mund: “Note on tri­go­no­met­ric­al and Rademach­er’s series,” Prace Mat.-Fiz. 44 (1937), pp. 91–​107. JFM 62.​0281.​04 Zbl 0016.​10902 article

J. Mar­cinkiewicz and A. Zyg­mund: “Some the­or­ems on or­tho­gon­al sys­tems,” Fun­dam. Math. 28 (1937), pp. 309–​335. JFM 63.​0202.​01 Zbl 0016.​20502 article

J. Mar­cinkiewicz and A. Zyg­mund: “Sur les fonc­tions in­dépend­antes” [On in­de­pend­ent func­tions], Fun­dam. Math. 29 (1937), pp. 60–​90. JFM 63.​0946.​02 Zbl 0016.​40901 article

J. Mar­cinkiewicz and A. Zyg­mund: “Mean val­ues of tri­go­no­met­ric­al poly­no­mi­als,” Fun­dam. Math. 28 (1937), pp. 131–​166. JFM 63.​0221.​03 Zbl 0017.​25102 article

J. Mar­cinkiewicz and A. Zyg­mund: “Two the­or­ems on tri­go­no­met­ric­al series,” Rec. Math. Mo­scou, n. Ser. 2(44) : 4 (1937), pp. 733–​737. JFM 63.​0208.​01 Zbl 0018.​01802 article

J. Mar­cinkiewicz and A. Zyg­mund: “Re­marque sur la loi du log­ar­ithme itéré” [Re­mark on the law of the it­er­ated log­ar­ithm], Fun­dam. Math. 29 (1937), pp. 215–​222. JFM 63.​1076.​03 Zbl 0018.​03204 article

J. Mar­cinkiewicz and A. Zyg­mund: “Proof of a gap the­or­em,” Duke Math. J. 4 : 3 (1938), pp. 469–​472. MR 1546068 JFM 64.​0223.​01 Zbl 0019.​27004 article

J. Mar­cinkiewicz and A. Zyg­mund: “A the­or­em of Lus­in,” Duke Math. J. 4 : 3 (1938), pp. 473–​485. MR 1546069 JFM 64.​0268.​01 Zbl 0019.​42001 article

J. Mar­cinkiewicz and A. Zyg­mund: “Quelques théorèmes sur les fonc­tions in­dépend­antes” [Some the­or­ems on in­de­pend­ent func­tions], Stud. Math. 7 (1938), pp. 104–​120. JFM 64.​0214.​01 Zbl 0018.​07504 article

A. Zyg­mund: “On the con­ver­gence and sum­mab­il­ity of power series on the circle of con­ver­gence, I,” Fun­dam. Math. 30 (1938), pp. 170–​196. Part II was pub­lished in Proc. Lon­don Math. Soc. 47:1. JFM 64.​1054.​01 Zbl 0019.​01602 article

A. Zyg­mund: “Proof of a the­or­em of Pa­ley,” Proc. Camb. Philos. Soc. 34 : 2 (1938), pp. 125–​133. JFM 64.​0227.​02 Zbl 0019.​01701 article

A. Zyg­mund: “A re­mark on con­jug­ate series,” Bull. Sém. Math. Univ. Wilno 1 (1938), pp. 16–​18. JFM 64.​1042.​02 Zbl 0019.​30102 article

J. Mar­cinkiewicz and A. Zyg­mund: “Sur les séries de puis­sances” [On power series], Math­em­at­ica, Cluj 14 (1938), pp. 21–​30. JFM 64.​1051.​04 Zbl 0020.​23103 article

S. Saks and A. Zyg­mund: Funk­cje an­al­ityczne: Wykłady uni­wer­syteck­ie [Ana­lyt­ic func­tions: Uni­versity lec­tures]. Mono­grafie Matematyczne 10. PWN Pol­ish Sci­entif­ic Pub­lish­ers (Warsaw), 1938. Re­pub­lished in 1948. An Eng­lish edi­tion was pub­lished in 1952. JFM 64.​1048.​01 book

J. Mar­cinkiewicz and A. Zyg­mund: “Sur la dérivée seconde général­isée” [On a gen­er­al­ized second de­riv­at­ive], Bull. Sém. Math. Univ. Wilno 2 (1939), pp. 35–​40. MR 0000045 JFM 65.​0206.​02 Zbl 0021.​01603 article

A. Zyg­mund: “Sur un théorèm de M. Fe­jér” [On a the­or­em of M. Fe­jér], Bull. Sém. Math. Univ. Wilno 2 (1939), pp. 3–​12. MR 0000052 JFM 65.​0308.​01 Zbl 0022.​15303 article

A. Zyg­mund: “Note on the form­al mul­ti­plic­a­tion of tri­go­no­met­ric­al series,” Bull. Sém. Math. Univ. Wilno 2 (1939), pp. 52–​56. MR 0000065 JFM 65.​0254.​03 Zbl 0021.​12002 article

J. Mar­cinkiewicz and A. Zyg­mund: “Quelques in­égal­ités pour les opéra­tions linéaires” [Some in­equal­it­ies for lin­ear op­er­a­tions], Fun­dam. Math. 32 (1939), pp. 115–​121. JFM 65.​0506.​02 Zbl 0021.​40703 article

J. Mar­cinkiewicz and A. Zyg­mund: “On the sum­mab­il­ity of double Four­i­er series,” Fun­dam. Math. 32 (1939), pp. 122–​132. JFM 65.​0266.​01 Zbl 0022.​01804 article

J. Mar­cinkiewicz and A. Zyg­mund: “On the be­ha­vi­or of tri­go­no­met­ric series and power series,” Trans. Am. Math. Soc. 50 : 3 (1941), pp. 407–​453. MR 0005130 JFM 67.​0225.​02 Zbl 0025.​40002 article

A. Zyg­mund: “On the con­ver­gence and sum­mab­il­ity of power series on the circle of con­ver­gence, II,” Proc. Lon­don Math. Soc. (2) 47 : 1 (1942), pp. 326–​350. Part I was pub­lished in Fun­dam. Math. 30. MR 0007042 Zbl 0060.​20208 article

A. Zyg­mund: “Two notes on in­equal­it­ies,” J. Math. Phys., Mass. Inst. Tech. 21 : 1–​4 (April 1942), pp. 117–​123. MR 0007425 Zbl 0060.​14801 article

A. Zyg­mund: “Com­plex meth­ods in the the­ory of Four­i­er series,” Bull. Am. Math. Soc. 49 : 11 (1943), pp. 805–​822. MR 0009221 Zbl 0060.​18901 article

A. Zyg­mund: “A the­or­em on gen­er­al­ized de­riv­at­ives,” Bull. Am. Math. Soc. 49 : 12 (1943), pp. 917–​923. MR 0009624 Zbl 0061.​11307 article

A. Zyg­mund: “A prop­erty of the zer­os of Le­gendre poly­no­mi­als,” Trans. Am. Math. Soc. 54 : 1 (1943), pp. 39–​56. MR 0009657 Zbl 0063.​08415 article

J. D. Tamar­kin and A. Zyg­mund: “Proof of a the­or­em of Thor­in,” Bull. Am. Math. Soc. 50 : 4 (1944), pp. 279–​282. MR 0009964 Zbl 0060.​24104 article

A. Zyg­mund: “On cer­tain in­teg­rals,” Trans. Am. Math. Soc. 55 (1944), pp. 170–​204. MR 0009966 Zbl 0061.​13902 article

A. Zyg­mund: “On the de­gree of ap­prox­im­a­tion of func­tions by Fe­jér means,” Bull. Am. Math. Soc. 51 : 4 (1945), pp. 274–​278. MR 0012146 Zbl 0061.​13701 article

A. Zyg­mund: “Proof of a the­or­em of Lit­tle­wood and Pa­ley,” Bull. Am. Math. Soc. 51 : 6 (1945), pp. 439–​446. MR 0012306 Zbl 0060.​14703 article

A. Zyg­mund: “Smooth func­tions,” Duke Math. J. 12 : 1 (1945), pp. 47–​76. MR 0012691 Zbl 0060.​13806 article

A. Zyg­mund: “A the­or­em on frac­tion­al de­riv­at­ives,” Duke Math. J. 12 : 3 (1945), pp. 455–​464. MR 0013403 Zbl 0061.​11308 article

R. Salem and A. Zyg­mund: “La­cun­ary power series and Peano curves,” Duke Math. J. 12 : 4 (1945), pp. 569–​578. MR 0015154 Zbl 0060.​20402 article

A. Zyg­mund: “The ap­prox­im­a­tion of func­tions by typ­ic­al means of their Four­i­er series,” Duke Math. J. 12 : 4 (1945), pp. 695–​704. MR 0015539 Zbl 0060.​18804 article

A. Zyg­mund: “On the the­or­em of Fe­jér–Riesz,” Bull. Am. Math. Soc. 52 : 4 (1946), pp. 310–​318. MR 0015536 Zbl 0060.​18803 article

R. Salem and A. Zyg­mund: “Ca­pa­city of sets and Four­i­er series,” Trans. Am. Math. Soc. 59 : 1 (1946), pp. 23–​41. MR 0015537 Zbl 0060.​18511 article

R. Salem and A. Zyg­mund: “The ap­prox­im­a­tion by par­tial sums of Four­i­er series,” Trans. Am. Math. Soc. 59 : 1 (1946), pp. 14–​22. MR 0015538 Zbl 0060.​18510 article

R. Salem and A. Zyg­mund: “On a the­or­em of Banach,” Proc. Natl. Acad. Sci. U. S. A. 33 : 10 (October 1947), pp. 293–​295. MR 0021611 Zbl 0029.​20801 article

A. Zyg­mund: “On tri­go­no­met­ric in­teg­rals,” Ann. Math. (2) 48 : 2 (April 1947), pp. 393–​440. MR 0021612 Zbl 0029.​11903 article

A. Zyg­mund: “A re­mark on char­ac­ter­ist­ic func­tions,” Ann. Math. Stat. 18 : 2 (1947), pp. 272–​276. MR 0021613 Zbl 0032.​29202 article

R. Salem and A. Zyg­mund: “On la­cun­ary tri­go­no­met­ric series,” Proc. Natl. Acad. Sci. U. S. A. 33 : 11 (November 1947), pp. 333–​338. MR 0022263 Zbl 0029.​11902 article

A. Zyg­mund: “On the sum­mab­il­ity of mul­tiple Four­i­er series,” Am. J. Math. 69 : 4 (October 1947), pp. 836–​850. MR 0022618 Zbl 0034.​04601 article

R. Salem and A. Zyg­mund: “On la­cun­ary tri­go­no­met­ric series, II,” Proc. Natl. Acad. Sci. U. S. A. 34 : 2 (February 1948), pp. 54–​62. MR 002936 Zbl 0029.​35601 article

M. Kac, R. Salem, and A. Zyg­mund: “A gap the­or­em,” Trans. Am. Math. Soc. 63 : 2 (1948), pp. 235–​243. MR 0023937 Zbl 0032.​27402 article

A. Zyg­mund: “On cer­tain meth­ods of sum­mab­il­ity as­so­ci­ated with con­jug­ate tri­go­no­met­ric series,” Stu­dia Math. 10 (1948), pp. 97–​103. MR 0025592 Zbl 0038.​21901 article

A. Zyg­mund: “On a the­or­em of Hadam­ard,” Ann. Soc. Po­lon. Math. 21 (1948), pp. 52–​69. Er­rata were pub­lished in Ann. Soc. Po­lon. Math. 21 (1948). MR 0026685 Zbl 0032.​06301 article

R. Salem and A. Zyg­mund: “A con­vex­ity the­or­em,” Proc. Natl. Acad. Sci. U. S. A. 34 : 9 (September 1948), pp. 443–​447. MR 0027083 Zbl 0034.​33501 article

A. Zyg­mund: “Two notes on the sum­mab­il­ity of in­fin­ite series,” Col­loq. Math. 1 : 3 (1948), pp. 225–​229. MR 0028436 Zbl 0038.​21401 article

A. Zyg­mund: “An ex­ample in Four­i­er series,” Stu­dia Math. 10 (1948), pp. 113–​119. MR 0029439 Zbl 0038.​21802 article

A. Zyg­mund: “Er­rata to the pa­per ‘On a the­or­em of Hadam­ard.’,” Ann. Soc. Po­lon. Math. 21 (1948), pp. 357–​358. Er­rata to an art­icle pub­lished in \text{Ann. Soc. Po­lon. Math.} 21 (1948). MR 0030595 article

S. Saks and A. Zyg­mund: Funk­cje an­al­ityczne: Wykłady uni­wer­syteck­ie [Ana­lyt­ic func­tions: Uni­versity lec­tures], 2nd edition. Mono­grafie Matematyczne 10. Sp\.ołdziel­nia Wydawn­icza (Warsaw), 1948. Re­pub­lic­a­tion of 1938 ori­gin­al. Zbl 0031.​29804 book

A. P. Caldéron, A. González Domínguez, and A. Zyg­mund: “Nota sobre los valores límites de fun­ciones analít­ic­as” [Note on the lim­it val­ues of ana­lyt­ic func­tions], Rev­ista Unión Mat. Ar­gen­tina 14 (1949), pp. 16–​19. MR 0031550 Zbl 0033.​05901 article

A. Zyg­mund: “On the bound­ary val­ues of func­tions of sev­er­al com­plex vari­ables, I,” Fund. Math. 36 (1949), pp. 207–​235. MR 0035832 Zbl 0040.​19201 article

A. Zyg­mund: “On a the­or­em of Lit­tle­wood,” Summa Brasil. Math. 2 : 5 (1949), pp. 51–​57. MR 0036306 Zbl 0038.​26202 article

A. Zyg­mund: “A re­mark on func­tions of sev­er­al com­plex vari­ables,” Acta Sci. Math. 12 : B (1950), pp. 66–​68. Ded­ic­ated to Leo­poldo Fe­jér and Fre­derico Riesz on their 70th birth­days. MR 0034849 Zbl 0041.​20601 article

A. Zyg­mund: Tri­go­no­met­ric in­ter­pol­a­tion. Uni­versity of Chica­go, 1950. Mi­meo­graph of typed lec­ture notes. MR 0034865 Zbl 0039.​06501 book

A. P. Calder­ón and A. Zyg­mund: “Note on the bound­ary val­ues of func­tions of sev­er­al com­plex vari­ables,” pp. 145–​165 in A. Zyg­mund, W. Tran­sue, M. Morse, A. P. Calder­ón, and S. Boch­ner: Con­tri­bu­tions to Four­i­er ana­lys­is. An­nals of Math­em­at­ics Stud­ies 25. Prin­ceton Uni­versity Press (Prin­ceton, NJ), 1950. MR 0035833 Zbl 0040.​04001 incollection

A. P. Calder­ón and A. Zyg­mund: “On the the­or­em of Haus­dorff–Young and its ex­ten­sions,” pp. 166–​188 in A. Zyg­mund, W. Tran­sue, M. Morse, A. P. Calder­ón, and S. Boch­ner: Con­tri­bu­tions to Four­i­er ana­lys­is. An­nals of Math­em­at­ics Stud­ies 25. Prin­ceton Uni­versity Press, 1950. MR 0037395 Zbl 0040.​02902 incollection

R. Salem and A. Zyg­mund: “La loi du log­ar­ithme itéré pour les séries tri­go­nométriques la­cun­aires” [The law of the it­er­ated log­ar­ithm for la­cun­ary tri­go­no­met­ric series], Bull. Sci. Math. (2) 74 (1950), pp. 209–​224. MR 0039828 Zbl 0039.​07001 article

A. Zyg­mund: “A re­mark on the in­teg­ral mod­u­lus of con­tinu­ity,” Rev., Ser. A, Univ. Nac. Tu­cumán 7 (1950), pp. 259–​269. MR 0042479 Zbl 0040.​18101 article

Con­tri­bu­tions to Four­i­er ana­lys­is. Edi­ted by A. Zyg­mund, W. Tran­sue, M. Morse, A. P. Cal­der­on, and S. Boch­ner. An­nals of Math­em­at­ics Stud­ies 25. Prin­ceton Uni­versity Press, 1950. Zbl 1341.​42001 book

A. Zyg­mund: “Pol­ish math­em­at­ics between the two wars (1919–39),” pp. 3–​9 in Pro­ceed­ings of the second Ca­na­dian Math­em­at­ics Con­gress (Van­couver, BC, 1949). Uni­versity of Toronto Press, 1951. MR 0043016 Zbl 0042.​24302 incollection

A. Zyg­mund: “A re­mark on char­ac­ter­ist­ic func­tions,” pp. 369–​372 in Pro­ceed­ings of the second Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 31 Ju­ly–12 Au­gust 1950). Edi­ted by J. Ney­man. Uni­versity of Cali­for­nia Press (Berke­ley and Los Angeles), 1951. MR 0044056 Zbl 0045.​07303 incollection

A. Zyg­mund: “An in­di­vidu­al er­god­ic the­or­em for non-com­mut­at­ive trans­form­a­tions,” Acta Sci. Math. 14 : 2 (1951), pp. 103–​110. MR 0045948 Zbl 0045.​06403 article

A. P. Calder­ón and A. Zyg­mund: “A note on the in­ter­pol­a­tion of lin­ear op­er­a­tions,” Stu­dia Math. 12 (1951), pp. 194–​204. MR 0046567 Zbl 0044.​11902 article

A. P. Cal­der­on and A. Zyg­mund: “On the ex­ist­ence of cer­tain sin­gu­lar in­teg­rals,” Acta Math. 88 (December 1952), pp. 85–​139. Ded­ic­ated to Pro­fess­or Mar­cel Riesz, on the oc­ca­sion of his 65th birth­day. MR 0052553 Zbl 0047.​10201 article

S. Saks and A. Zyg­mund: Ana­lyt­ic func­tions. Mono­grafie Matematyczne 28. Pol­skie To­war­zys­t­wo Matematyczne (Warsaw), 1952. Eng­lish trans­la­tion of 1938 Pol­ish ori­gin­al. MR 0055432 Zbl 0048.​30803 book

A. Zyg­mund: Tri­go­no­met­ric­al series, 2nd edition. Chelsea Pub­lish­ing (New York), 1952. Re­pub­lic­a­tion of 1935 ori­gin­al. MR 0076084 book

R. Salem and A. Zyg­mund: “Sur les séries tri­go­nométriques dont les coef­fi­cients ont des signes aléatoires” [On tri­go­no­met­ric series whose coef­fi­cients have ran­dom signs], C. R. Acad. Sci. Par­is 236 (1953), pp. 571–​573. MR 0055478 Zbl 0050.​07303 article

A. Zyg­mund: “Book re­view: H. G. Hardy, J. E. Lit­tle­wood and G. Pólya , ‘In­equal­it­ies’,” Bull. Am. Math. Soc. 59 : 4 (1953), pp. 411–​412. MR 1565505 article

A. P. Calder­ón and A. Zyg­mund: “Sin­gu­lar in­teg­rals and peri­od­ic func­tions,” Stu­dia Math. 14 (1953–1954), pp. 249–​271. MR 0069310 Zbl 0064.​10401 article

G. Szegő and A. Zyg­mund: “On cer­tain mean val­ues of poly­no­mi­als,” J. Ana­lyse Math. 3 : 1 (1954), pp. 225–​244. Ded­ic­ated to the memory of Otto Szász. MR 0064910 Zbl 0055.​30303 article

R. Salem and A. Zyg­mund: “Some prop­er­ties of tri­go­no­met­ric series whose terms have ran­dom signs,” Acta Math. 91 : 1 (1954), pp. 245–​301. Ded­ic­ated to Pro­fess­or Hugo Stein­haus for his 65th birth­day. MR 0065679 Zbl 0056.​29001 article

A. P. Calder­ón and A. Zyg­mund: “On a prob­lem of Mih­lin,” Trans. Am. Math. Soc. 78 : 1 (1955), pp. 209–​224. An ad­denda to this was pa­per pub­lished in Trans. Am. Math. Soc. 84:2 (1957). MR 0068028 Zbl 0065.​04104 article

R. Salem and A. Zyg­mund: “Sur un théorème de Pi­at­etçki–Sha­piro” [On a the­or­em of Pi­at­etçki–Sha­piro], C. R. Acad. Sci. Par­is 240 : part 2 (1955), pp. 2040–​2042. MR 0071580 Zbl 0065.​29702 article

R. Salem and A. Zyg­mund: “Sur les en­sembles par­faits dis­symétriques à rap­port con­stant” [On the asym­met­ric per­fect sets of con­stant ra­tio], C. R. Acad. Sci. Par­is 240 : part 2 (1955), pp. 2281–​2283. MR 0071581 Zbl 0066.​31701 article

A. Zyg­mund: Tri­go­no­met­ric­al series, 2nd edition. Dover Pub­lic­a­tions (New York), 1955. Un­abridged and un­altered re­pub­lic­a­tion of the edi­tion pub­lished in 1935. MR 0072976 Zbl 0065.​05604 book

A. Zyg­mund: “On the Lit­tle­wood–Pa­ley func­tion \( g^*(\theta) \),” Proc. Natl. Acad. Sci. U. S. A. 42 : 4 (April 1956), pp. 208–​212. MR 0077700 Zbl 0072.​07201 article

A. Zyg­mund: “On a the­or­em of Mar­cinkiewicz con­cern­ing in­ter­pol­a­tion of op­er­a­tions,” J. Math. Pures Ap­pl. (9) 35 (1956), pp. 223–​248. MR 0080887 Zbl 0070.​33701 article

A. P. Calder­ón and A. Zyg­mund: “A note on the in­ter­pol­a­tion of sub­lin­ear op­er­a­tions,” Am. J. Math. 78 : 2 (April 1956), pp. 282–​288. MR 0082647 Zbl 0071.​33601 article

R. Salem and A. Zyg­mund: “A note on ran­dom tri­go­no­met­ric poly­no­mi­als,” pp. 243–​246 in Pro­ceed­ings of the third Berke­ley sym­posi­um on math­em­at­ic­al stat­ist­ics and prob­ab­il­ity (Berke­ley, CA, 26–31 Decem­ber 1954 and Ju­ly–Au­gust 1955), vol. 2. Edi­ted by J. Ney­man. Uni­versity of Cali­for­nia Press (Berke­ley and Los Angeles), 1956. MR 0084622 Zbl 0071.​28401 incollection

A. P. Calder­ón and A. Zyg­mund: “On sin­gu­lar in­teg­rals,” Am. J. Math. 78 : 2 (April 1956), pp. 289–​309. MR 0084633 Zbl 0072.​11501 article

A. Zyg­mund: “Hil­bert trans­forms in \( E^n \),” pp. 140–​151 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Am­s­ter­dam, 2–9 Septem­ber 1954), vol. 3. Edi­ted by J. C. H. Ger­ret­sen and J. de Groot. Er­ven P. Noord­hoff N.V. (Gronin­gen), 1956. MR 0086187 Zbl 0073.​32701 incollection

A. P. Calder­ón and A. Zyg­mund: “Al­geb­ras of cer­tain sin­gu­lar op­er­at­ors,” Am. J. Math. 78 : 2 (April 1956), pp. 310–​320. MR 0087810 Zbl 0072.​11601 article

A. P. Cal­der­on and A. Zyg­mund: “Ad­denda to the pa­per ‘On a prob­lem of Mih­lin’,” Trans. Am. Math. Soc. 84 : 2 (March 1957), pp. 559–​560. Ad­denda to a pa­per pub­lished in Trans. Am. Math. Soc. 78:1 (1955). MR 0084634 Zbl 0077.​27204 article

A. Zyg­mund: “On sin­gu­lar in­teg­rals,” Rend. Mat. e Ap­pl. (5) 16 (1957), pp. 468–​505. Based on C.I.M.E. Sum­mer School lec­tures. MR 0096088 Zbl 0088.​08302 article

A.-P. Calder­ón and A. Zyg­mund: “Sin­gu­lar in­teg­ral op­er­at­ors and dif­fer­en­tial equa­tions,” Am. J. Math. 79 : 4 (October 1957), pp. 901–​921. MR 0100768 Zbl 0081.​33502 article

A. Zyg­mund: “On the bound­ary val­ues of func­tions of sev­er­al com­plex vari­ables,” pp. 236–​247 in Sem­inars on Ana­lyt­ic Func­tions, vol. 1. In­sti­tute for Ad­vanced Study (Prin­ceton), 1958. Zbl 0116.​06102 incollection

M. Weiss and A. Zyg­mund: “A note on smooth func­tions,” Nederl. Akad. Wetensch. Proc. Ser. A 62 : 1 (1959), pp. 52–​58. MR 0107122 Zbl 0085.​05701 article

A. Zyg­mund: Tri­go­no­met­ric series, 2nd edition, vol. I. Cam­bridge Uni­versity Press (New York), 1959. First volume of an en­larged edi­tion of 1935 ori­gin­al. MR 0107776 Zbl 0085.​05601 book

A. Zyg­mund: “On the pre­ser­va­tion of classes of func­tions,” J. Math. Mech. 8 : 6 (1959), pp. 889–​895. An er­rat­um for this art­icle was pub­lished in J. Math. Mech. 9:4 (1960). MR 0117498 Zbl 0092.​28802 article

A. Zyg­mund: Tri­go­no­met­ric series, 2nd edition, vol. II. Cam­bridge Uni­versity Press (New York), 1959. Second volume of an en­larged edi­tion of 1935 ori­gin­al. book

M. Weiss and A. Zyg­mund: “On the ex­ist­ence of con­jug­ate func­tions of high­er or­der,” Fund. Math. 48 : 2 (1959–1960), pp. 175–​187. MR 0113093 Zbl 0093.​26604 article

A. Zyg­mund: “Józef Mar­cinkiewicz,” Wia­dom. Mat. (2) 4 (1960), pp. 11–​41. MR 0115885 Zbl 0091.​00617 article

A.-P. Calder­ón and A. Zyg­mund: “A note on loc­al prop­er­ties of solu­tions of el­lipt­ic dif­fer­en­tial equa­tions,” Proc. Natl. Acad. Sci. U.S.A. 46 : 10 (October 1960), pp. 1385–​1389. An ex­pan­ded ver­sion of this was pub­lished in Stu­dia Math. 20:2 (1961). MR 0140829 Zbl 0196.​40501 article

A. Zyg­mund: “Er­rat­um: ‘On the pre­ser­va­tion of classes of func­tions’,” J. Math. Mech. 9 : 4 (1960), pp. 663. Er­rat­um for an art­icle pub­lished in J. Math. Mech. 8:6 (1959). article

E. M. Stein and A. Zyg­mund: “Smooth­ness and dif­fer­en­ti­ab­il­ity of func­tions,” Ann. Univ. Sci. Bud­apest, Eötvös Sect. Math. 3–4 (1960–1961), pp. 295–​307. MR 0132135 Zbl 0104.​04803 article

A.-P. Calder­ón and A. Zyg­mund: “Loc­al prop­er­ties of solu­tions of el­lipt­ic par­tial dif­fer­en­tial equa­tions,” Stu­dia Math. 20 : 2 (1961), pp. 171–​225. This ex­pands on an art­icle pub­lished in Proc. Natl. Acad. Sci. U.S.A. 46:10 (1960). MR 0136849 Zbl 0099.​30103 article

A. Zyg­mund: “On one-sided loc­al­iz­a­tion of tri­go­no­met­ric series,” pp. 435–​447 in Stud­ies in math­em­at­ic­al ana­lys­is and re­lated top­ics: Es­says in hon­or of G. Pólya. Edi­ted by G. Szegö, C. Loewn­er, S. Berg­man, M. M. Schif­fer, J. Ney­man, D. Gil­barg, and H. So­lomon. Stan­ford Stud­ies in Math­em­at­ics and Stat­ist­ics 4. Stan­ford Uni­versity Press (Stan­ford, CA), 1962. MR 0145261 Zbl 0119.​05701 incollection

A.-P. Calder­ón and A. Zyg­mund: “On the dif­fer­en­ti­ab­il­ity of func­tions which are of bounded vari­ation in Ton­elli’s sense,” Rev. Un. Mat. Ar­gen­tina 20 (1962), pp. 102–​121. MR 0151557 Zbl 0116.​31804 article

A.-P. Calder­ón and A. Zyg­mund: “On high­er gradi­ents of har­mon­ic func­tions,” pp. 57–​60 in Out­lines of the joint So­viet-Amer­ic­an sym­posi­um on par­tial dif­fer­en­tial equa­tions (Nov­os­ibirsk, Au­gust 1963). Academy of Sci­ences of the USSR, Siberi­an Branch (Mo­scow), 1963. A ver­sion of this was later pub­lished in Stu­dia Math. 24:2 (1964). MR 0214798 incollection

E. M. Stein and A. Zyg­mund: “On the dif­fer­en­ti­ab­il­ity of func­tions,” Stu­dia Math. 23 : 3 (1963–1964), pp. 247–​283. Ded­ic­ated to E. Hille on the oc­ca­sion of his 70th birth­day. MR 0158955 Zbl 0122.​30203 article

A.-P. Calder­ón and A. Zyg­mund: “On high­er gradi­ents of har­mon­ic func­tions,” Stu­dia Math. 24 : 2 (1964), pp. 211–​226. An earli­er ver­sion of this was pub­lished in Out­lines of the joint So­viet-Amer­ic­an sym­posi­um on par­tial dif­fer­en­tial equa­tions (1963). MR 0167631 Zbl 0168.​37002 article

E. M. Stein and A. Zyg­mund: “On the frac­tion­al dif­fer­en­ti­ab­il­ity of func­tions,” Proc. Lon­don Math. Soc. (3) 14A : 1 (1965), pp. 249–​264. To J. E. Lit­tle­wood on his 80th birth­day. MR 0177076 Zbl 0154.​05501 article

A. Zig­mund: Tri­go­no­met­richeskie ryady [Tri­go­no­met­ric series], vol. I. Mir (Mo­scow), 1965. Rus­si­an trans­la­tion of 1959 2nd edi­tion. MR 0178296 Zbl 0121.​05804 book

S. Saks and A. Zyg­mund: Ana­lyt­ic func­tions. Mono­grafie Matematyczne 28. Pol­skie To­war­zys­t­wo Matematyczne (Warsaw), 1965. En­larged 2nd edi­tion of 1952 Eng­lish trans­la­tion of 1938 Pol­ish ori­gin­al. MR 0180658 Zbl 0136.​37301 book

A. Zig­mund: Tri­go­no­met­richeskie ryady [Tri­go­no­met­ric series], vol. II. Edi­ted by N. K. Bari. Mir (Mo­scow), 1965. Rus­si­an trans­la­tion of 1959 2nd edi­tion. Zbl 0131.​06703 book

M. Weiss and A. Zyg­mund: “An ex­ample in the the­ory of sin­gu­lar in­teg­rals,” Stu­dia Math. 26 : 1 (1965–1966), pp. 101–​111. To Gabor Szegö on his sev­en­ti­eth birth­day. MR 0190655 Zbl 0127.​05702 article

A. Zyg­mund: “A note on the dif­fer­en­ti­ab­il­ity of in­teg­rals,” pp. 199–​204 in Ded­ie a Fran­ciszek Leja [Ded­ic­ated to Fran­ciszek Leja], published as Col­loq. Math. 16 (1967). MR 0210847 Zbl 0156.​06301 incollection

E. M. Stein and A. Zyg­mund: “Bounded­ness of trans­la­tion in­vari­ant op­er­at­ors on Hölder spaces and \( L^p \)-spaces,” Ann. Math. (2) 85 : 2 (March 1967), pp. 337–​349. MR 0215121 Zbl 0172.​40102 article

A. P. Calder­ón, M. Weiss, and A. Zyg­mund: “On the ex­ist­ence of sin­gu­lar in­teg­rals,” pp. 56–​73 in Sin­gu­lar in­teg­rals (Chica­go, 20–22 April 1966). Edi­ted by A. P. Calder­ón. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 10. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1967. An ad­dendum to this art­icle was pub­lished in Stu­dia Math. 46:3 (1973). MR 0338709 Zbl 0167.​12202 incollection

A. Zyg­mund: “Mary Weiss: Decem­ber 11, 1930–Oc­to­ber 8, 1966,” pp. xi–​xviii in Or­tho­gon­al ex­pan­sions and their con­tinu­ous ana­logues (Ed­wards­ville, IL, 27–29 April 1967). Edi­ted by D. T. Haimo. South­ern Illinois Uni­versity Press (Car­bondale, IL), 1968. MR 0230593 Zbl 0157.​33210 incollection

E. M. Stein and A. Zyg­mund: “On the bound­ary be­ha­vi­or of har­mon­ic func­tions,” pp. 127–​141 in Or­tho­gon­al ex­pan­sions and their con­tinu­ous ana­logues (Ed­wards­ville, IL, 27–29 April 1967). Edi­ted by D. T. Haimo. South­ern Illinois Uni­versity Press (Car­bondale, IL), 1968. MR 0234001 Zbl 0157.​42501 incollection

M. Weiss and A. Zyg­mund: “On mul­ti­pli­ers pre­serving con­ver­gence of tri­go­no­met­ric series al­most every­where,” Stu­dia Math. 30 : 1 (1968), pp. 111–​120. MR 0234208 Zbl 0157.​38204 article

A. Zyg­mund: Tri­go­no­met­ric series, vol. I and II com­bined. 2nd. Cam­bridge Uni­versity Press (Lon­don and New York), 1969. Two volumes bound as one, re­prin­ted with cor­rec­tions and some ad­di­tions. 2nd edi­tion volume I and II bound to­geth­er. MR 0236587 book

A. Zyg­mund: “On cer­tain lem­mas of Mar­cinkiewicz and Car­leson,” J. Ap­prox. The­ory 2 : 3 (September 1969), pp. 249–​257. Lec­ture de­livered at Second Sym­posi­um on In­equal­it­ies at USAF Academy, Col­or­ado, Au­gust 1967. MR 0261408 Zbl 0175.​35303 article

S. Saks and A. Zyg­mund: Fonc­tions ana­lytiques [Ana­lyt­ic func­tions]. Mas­son et Cie (Par­is), 1970. French trans­la­tion of 1965 en­larged 2nd edi­tion of 1952 Eng­lish trans­la­tion of 1938 Pol­ish ori­gin­al. MR 0269813 Zbl 0199.​12601 book

A. Zyg­mund: “A the­or­em on the form­al mul­ti­plic­a­tion of tri­go­no­met­ric series,” pp. 224–​227 in Func­tion­al ana­lys­is and re­lated fields: Pro­ceed­ings of a con­fer­ence in hon­or of Pro­fess­or Mar­shall Stone (Chica­go, 20–24 May 1968). Edi­ted by F. E. Browder. Spring­er (New York), 1970. MR 0275042 Zbl 0242.​42007 incollection

S. Saks and A. Zyg­mund: Ana­lyt­ic func­tions, 3rd edition. El­sevi­er (Am­s­ter­dam), 1971. Re­pub­lic­a­tion of 1965 en­larged 2nd edi­tion of 1952 Eng­lish trans­la­tion of 1938 Pol­ish ori­gin­al. MR 0349963 book

A. Zyg­mund: In­té­grales sin­gulières [Sin­gu­lar in­teg­rals]. Lec­ture Notes in Math­em­at­ics 204. Spring­er (Ber­lin), 1971. MR 0467191 Zbl 0216.​15104 book

A. Zyg­mund: “A Can­tor–Le­besgue the­or­em for double tri­go­no­met­ric series,” Stu­dia Math. 43 : 2 (1972), pp. 173–​178. MR 0312149 Zbl 0214.​32501 article

Col­lec­tion of art­icles hon­or­ing the com­ple­tion by Ant­oni Zyg­mund of 50 years of sci­entif­ic activ­ity, I, published as Stu­dia Math. 44 : 1. Państ­wowe Wydawn­ict­wo Naukowe (Warsaw), 1972. MR 0327407 book

Col­lec­tion of art­icles hon­or­ing the com­ple­tion by Ant­oni Zyg­mund of 50 years of sci­entif­ic activ­ity, II, published as Stu­dia Math. 44 : 2. Państ­wowe Wydawn­ict­wo Naukowe (Warsaw), 1972. MR 0327408 book

Col­lec­tion of art­icles hon­or­ing the com­ple­tion by Ant­oni Zyg­mund of 50 years of sci­entif­ic activ­ity, III, published as Stu­dia Math. 44 : 3. Państ­wowe Wydawn­ict­wo Naukowe (Warsaw), 1972. MR 0327409 book

Col­lec­tion of art­icles hon­or­ing the com­ple­tion by Ant­oni Zyg­mund of 50 years of sci­entif­ic activ­ity, IV, published as Stu­dia Math. 44 : 4. Państ­wowe Wydawn­ict­wo Naukowe (Warsaw), 1972. MR 0327410 book

Col­lec­tion of art­icles hon­or­ing the com­ple­tion by Ant­oni Zyg­mund of 50 years of sci­entif­ic activ­ity, V, published as Stu­dia Math. 44 : 5. Państ­wowe Wydawn­ict­wo Naukowe (Warsaw), 1972. MR 0327411 book

Col­lec­tion of art­icles hon­or­ing the com­ple­tion by Ant­oni Zyg­mund of 50 years of sci­entif­ic activ­ity, VI, published as Stu­dia Math. 44 : 6. Państ­wowe Wydawn­ict­wo Naukowe (Warsaw), 1972. MR 0327412 book

A. P. Calder­ón and A. Zyg­mund: “Ad­dendum to the pa­per ‘On sin­gu­lar in­teg­rals’,” Stu­dia Math. 46 : 3 (1973), pp. 297–​299. Ad­dendum to an art­icle pub­lished in Sin­gu­lar in­teg­rals (1967). Er­rata for this ad­dendum were pub­lished in Stu­dia Math. 47:3 (1973). MR 0338710 Zbl 0263.​44003 article

A. P. Calder­ón and A. Zyg­mund: “Er­rata: ‘Ad­dendum to the pa­per ‘On sin­gu­lar in­teg­rals’ ’,” Stu­dia Math. 47 : 3 (1973), pp. 305. Er­rata for an ad­dendum pub­lished in Stu­dia Math. 46:3 (1973). MR 0338711 Zbl 0263.​44004 article

A. Zyg­mund: “On Four­i­er coef­fi­cients and trans­forms of func­tions of two vari­ables,” Stu­dia Math. 50 (1974), pp. 189–​201. To Mar­celi Stark. MR 0387950 Zbl 0278.​42005 article

A. Zyg­mund: “The role of Four­i­er series in the de­vel­op­ment of ana­lys­is,” pp. 591–​594 in Pro­ceed­ings of the Amer­ic­an Academy work­shop on the evol­u­tion of mod­ern math­em­at­ics (Bo­ston, MA, 7–9 Au­gust 1974), published as Hist. Math. 2 : 4. Issue edi­ted by G. Birk­hoff. El­sevi­er (San Diego, CA), November 1975. MR 0479870 Zbl 0331.​01009 incollection

C. Fef­fer­man, J.-P. Ka­hane, and E. M. Stein: “O dorob­ku naukow­ym Ant­oniego Zyg­munda” [The sci­entif­ic achieve­ments of Ant­oni Zyg­mund], Wia­dom. Mat. (2) 19 : 2 (1976), pp. 91–​126. MR 0433115 article

A. Zyg­mund: “Notes on the his­tory of Four­i­er series,” pp. 1–​19 in Stud­ies in har­mon­ic ana­lys­is (Chica­go, 29 June–2 Ju­ly 1974). Edi­ted by J. M. Ash. MAA Stud­ies in Math­em­at­ics 13. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1976. MR 0454489 Zbl 0358.​42002 incollection

R. L. Wheeden and A. Zyg­mund: Meas­ure and in­teg­ral: An in­tro­duc­tion to real ana­lys­is. Mono­graphs and Text­books in Pure and Ap­plied Math­em­at­ics 43. Mar­cel Dek­ker (New York), 1977. Re­pub­lished in 2015. MR 0492146 Zbl 0362.​26004 book

A. Zyg­mund: Tri­go­no­met­ric series, 2nd re­prin­ted edition, vol. I and II com­bined. Cam­bridge Uni­versity Press, 1977. Re­print­ing of the 1969 ver­sion of the 2nd edi­tion volume I and II bound to­geth­er. MR 0617944 Zbl 0367.​42001 book

A.-P. Calder­ón and A. Zyg­mund: “On sin­gu­lar in­teg­rals with vari­able ker­nels,” Ap­pl. Anal. 7 : 3 (1977–1978), pp. 221–​238. Ded­ic­ated to S. G. Mikhil­in on the oc­ca­sion of his 70th birth­day. MR 0511145 Zbl 0451.​42012 article

A.-P. Calder­ón and A. Zyg­mund: “A note on sin­gu­lar in­teg­rals,” Stu­dia Math. 65 : 1 (1979), pp. 77–​87. MR 554542 Zbl 0431.​42007 article

A. Zyg­mund: “Stan­isław Saks (1897–1942),” Wia­dom. Mat. (2) 24 : 2 (1982), pp. 145–​156. A slightly mod­i­fied and ab­bre­vi­ated trans­la­tion of this was pub­lished in Math. In­tell. 9:1 (1987). MR 705775 Zbl 0529.​01016 article

Con­fer­ence on har­mon­ic ana­lys­is in hon­or of Ant­oni Zyg­mund (Chica­go, 23–28 March 1981), vol. 1 and 2. Edi­ted by W. Beck­ner, A. P. Calder­ón, R. Fef­fer­man, and P. W. Jones. Wadsworth Math­em­at­ics Series. Wadsworth (Bel­mont, CA), 1983. MR 0730053 Zbl 0493.​00009 book

A. P. Calder­ón: “Ant­oni Zyg­mund,” pp. xiii–​xv in Con­fer­ence on har­mon­ic ana­lys­is in hon­or of Ant­oni Zyg­mund (Chica­go, 23–28 March 1981), vol. 1. Edi­ted by W. Beck­ner, A. P. Calder­ón, R. Fef­fer­man, and P. W. Jones. Wadsworth Math­em­at­ics Series. Wadsworth (Bel­mont, CA), 1983. incollection

A. Zyg­mund: “Stan­isław Saks, 1897–1942,” Math. In­tell. 9 : 1 (1987), pp. 36–​41. Slightly mod­i­fied and ab­bre­vi­ated trans­la­tion of an art­icle in Wia­dom. Mat. 24:2 (1982). MR 869538 Zbl 0602.​01027 article

A. Zyg­mund: “Aleksander Ra­jch­man (1890–1940),” Wia­dom. Mat. (2) 27 : 2 (1987), pp. 219–​231. MR 908884 Zbl 0631.​01027 article

A. Zyg­mund: Tri­go­no­met­ric series, 2nd edition, vol. I and II com­bined. Cam­bridge Math­em­at­ic­al Lib­rary. Cam­bridge Uni­versity Press, 1988. Re­pub­lic­a­tion of the 1977 re­print­ing of the 1969 2nd edi­tion. MR 933759 Zbl 0628.​42001 book

R. R. Coi­f­man and R. S. Strichartz: “The school of Ant­oni Zyg­mund,” pp. 343–​368 in A cen­tury of math­em­at­ics in Amer­ica, part III. Edi­ted by P. Duren, R. As­key, U. C. Merzbach, and H. M. Ed­wards. His­tory of Math­em­at­ics. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1989. With the col­lab­or­a­tion of Gina Grazi­osi and Ju­lia Hallquist. MR 1025352 incollection

A. Zyg­mund: Se­lec­ted pa­pers of Ant­oni Zyg­mund, vol. 1. Edi­ted by A. Hu­lan­icki, P. Wo­jtaszczyk, and W. Żelazko. Math­em­at­ics and its Ap­plic­a­tions: East European Series 41. Kluwer Aca­dem­ic (Dordrecht), 1989. MR 1112134 Zbl 0689.​01020 book

A. Zyg­mund: Se­lec­ted pa­pers of Ant­oni Zyg­mund, vol. 2. Edi­ted by A. Hu­lan­icki, P. Wo­jtaszczyk, and W. Żelazko. Math­em­at­ics and its Ap­plic­a­tions: East European Series 41. Kluwer Aca­dem­ic (Dordrecht), 1989. MR 1112135 book

A. Zyg­mund: Se­lec­ted pa­pers of Ant­oni Zyg­mund, vol. 3. Edi­ted by A. Hu­lan­icki, P. Wo­jtaszczyk, and W. Żelazko. Math­em­at­ics and its Ap­plic­a­tions: East European Series 41. Kluwer Aca­dem­ic (Dordrecht), 1989. MR 1112136 book

Volume ded­ic­ated to Ant­oni Zyg­mund, published as Col­loq. Math. 60–61. Pol­ska Aka­demia Nauk (Warsaw), 1990. book

R. As­key: “In me­mori­am: Ant­oni Zyg­mund (Decem­ber 26, 1900–May 30, 1992),” J. Ap­prox. The­ory 71 : 1 (October 1992), pp. iii, 1–​2. MR 1180870 Zbl 0753.​01016 article

A. P. Calder­ón and E. M. Stein: “Ant­oni Zyg­mund: 1900–1992,” No­tices Am. Math. Soc. 39 : 8 (1992), pp. 848–​849. MR 1182969 Zbl 1194.​01074 article

Ant­oni Szcze­pan Zyg­mund (Decem­ber 26, 1900–May 30, 1992),” Stud. Math. 103 : 2 (1992), pp. 119–​121. MR 1199320 Zbl 0809.​01025 article

G. G. Lorentz: “Ant­oni Zyg­mund and his work,” J. Ap­prox. The­ory 75 : 1 (October 1993), pp. 1–​7. guest ed­it­or­i­al, with par­tial list of pub­lic­a­tions. MR 1240252 Zbl 0782.​01039 article

G. Weiss: “Ant­oni Zyg­mund, 1900–1992,” J. Geom. Anal. 3 : 6 (November 1993), pp. 529–​531. A ver­sion of this was re­pro­duced in Four­i­er ana­lys­is and par­tial dif­fer­en­tial equa­tions (1995). MR 1248083 Zbl 0788.​01070 article

D. Wa­ter­man: “The con­tri­bu­tions of Ant­oni Zyg­mund to real ana­lys­is,” Real Anal. Exch. 19 : 1 (1993–1994), pp. 11–​12. MR 1268827 article

Har­mon­ic ana­lys­is tech­niques for second or­der el­lipt­ic bound­ary value prob­lems: Ded­ic­ated to the memory of Pro­fess­or Ant­oni Zyg­mund. Edi­ted by C. E. Kenig. CBMS Re­gion­al Con­fer­ence Series in Math­em­at­ics 83. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1994. MR 1282720 Zbl 0812.​35001 book

G. Weiss: “Ant­oni Zyg­mund (1900–1992),” pp. 3–​5 in Four­i­er ana­lys­is and par­tial dif­fer­en­tial equa­tions (Mad­rid, 15–20 June 1992). Edi­ted by J. Gar­cía-Cuerva, E. Hernán­dez, F. Sor­ia, and J.-L. Tor­rea. Stud­ies in Ad­vanced Math­em­at­ics. CRC Press (Boca Raton, FL), 1995. Based on an art­icle pub­lished in J. Geom. Anal. 3:6 (1993). MR 1330229 Zbl 0865.​01037 incollection

A. Zyg­mund: Tri­go­no­met­ric series, 3rd edition, vol. I and II com­bined. Cam­bridge Math­em­at­ic­al Lib­rary. Cam­bridge Uni­versity Press, 2002. With a fore­word by Robert A. Fef­fer­man. Re­pub­lic­a­tion of the 1988 re­print­ing of the 1968 2nd edi­tion. MR 1963498 Zbl 1084.​42003 book

J. Gray: “Zyg­mund, Ant­oni,” pp. 414–​416 in New dic­tion­ary of sci­entif­ic bio­graphy, vol. 7: Tammes–Zyg­mund. Edi­ted by N. Ko­er­t­ge. Scrib­n­er (New York), 2008. incollection

W. Pio­trowski: “Przyczynek do bio­grafii Ant­oniego Zyg­munda” [A con­tri­bu­tion to the bio­graphy of Ant­oni Zyg­mund], Wia­dom. Mat. (2) 48 : 1 (2012), pp. 81–​84. MR 2962205 article

C. E. Kenig and W. Sch­lag: “Ant­oni Zyg­mund’s work on sin­gu­lar in­teg­rals,” Wia­dom. Mat. (2) 48 : 2 (2012), pp. 119–​125. MR 2986186 Zbl 1276.​42001 article

R. L. Wheeden and A. Zyg­mund: Meas­ure and in­teg­ral: An in­tro­duc­tion to real ana­lys­is, 2nd edition. Mono­graphs and Text­books in Pure and Ap­plied Math­em­at­ics 43. CRC Press (Boca Raton, FL), 2015. Re­pub­lic­a­tion of 1977 ori­gin­al. MR 3381284 Zbl 1326.​26007 book