Celebratio Mathematica

Antoni Zygmund

The development of square functions in the work of A. Zygmund

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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: “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

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

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

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

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.-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

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