Celebratio Mathematica

Antoni Zygmund

Complete Bibliography

Works connected to Raphaël Salem

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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

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

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

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

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

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

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

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

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

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