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Zygmund, Antoni

Some points in the theory of trigonometric and power series. (English) Zbl 0010.06201

Trans. Am. Math. Soc. 36, 586-617 (1934).
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\textit{A. Zygmund}, Trans. Am. Math. Soc. 36, 586--617 (1934; Zbl 0010.06201)
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[1] T. J. Boks, Sur les rapports entre les méthodes d’intégration de Riemann et de Lebesgue, Rendiconti del Circolo Matematico di Palermo, vol. 45 (1921), pp. 211-264. · JFM 48.0265.01
[2] A. Denjoy, Sur l’intégration riemannienne, Comptes Rendus, vol. 169 (1919), pp. 219-221. · JFM 47.0230.01
[3] L. Fejér, Ueber die arithmetischen Mittel erster Ordnung der Fourierreihe, Göttinger Nachrichten, 1925, pp. 13-17. · JFM 51.0217.02
[4] Leopold Fejér and Friedrich Riesz, Über einige funktionentheoretische Ungleichungen, Math. Z. 11 (1921), no. 3-4, 305 – 314 (German). · JFM 48.0327.01 · doi:10.1007/BF01203630
[5] G.H. Hardy, Remarks on three recent notes in the Journal, Journal of the London Mathematical Society, vol. 3 (1928), pp. 166-169. · JFM 54.0222.01
[6] G. H. Hardy and J. E. Littlewood, Some new properties of fourier constants, Math. Ann. 97 (1927), no. 1, 159 – 209. · JFM 52.0267.01 · doi:10.1007/BF01447865
[7] G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals, Mathematische Zeitschrift, vol. 27 (1927-1928), pp. 565-606. · JFM 54.0275.05
[8] G. H. Hardy and J. E. Littlewood, On absolute convergence of Fourier series, Journal of the London Mathematical Society, vol. 3 (1928), pp. 250-253. · JFM 54.0303.02
[9] G. H. Hardy and J. E. Littlewood, Some new properties of Fourier constants, Journal of the London Mathematical Society, vol. 6 (1931), pp. 3-9. · Zbl 0001.13504
[10] E. Hille, Note on the behavior of certain power series on the circle of convergence, Proceedings of the National Academy of Sciences, vol. 14 (1928), pp. 217-220. · JFM 54.0342.01
[11] E. Hille, Note on a power series considered by Hardy and Littlewood, Journal of the London Mathematical Society, vol. 4 (1929), pp. 176-182. · JFM 55.0205.03
[12] A. Kolmogoroff, Une série de Fourier-Lebesgue divergente presque partout, Fundamenta Mathematicae, vol. 4 (1923), pp. 324-328. · JFM 49.0205.02
[13] A. Kolmogoroff, Sur les fonctions harmoniques conjuguées et sur les séries de Fourier, Fundamenta Mathematicae, vol. 7 (1925), pp. 23-28. · JFM 51.0216.04
[14] A. Kolmogoroff, Sur un procédé d’intégration de M. Denjoy, Fundamenta Mathematicae, vol. 11 (1928), pp. 27-28. · JFM 54.0272.01
[15] Marcinkiewicz, Sur la divergence des séries de Fourier, to appear in the Fundamenta Mathematicae. · Zbl 0025.31603
[16] A. Oppenheim, Note on Mr. Cooper’s generalization of Young’s inequality, Journal of the London Mathematical Society, vol. 2 (1927), pp. 21-23. · JFM 53.0219.01
[17] R. E. A. C. Paley and N. Wiener, Notes on the theory and application of Fourier transforms, Note II, these Transactions, vol. 35 (1933), pp. 354-355. · Zbl 0006.25704
[18] R. E. A. C. Paley and A. Zygmund, On the partial sums of Fourier series, Studia Mathematica, vol. 2 (1930), pp. 221-227. · JFM 56.0940.03
[19] B. N. Prasad, On the summability of Fourier series and the bounded variation of power series, Proceedings of the London Mathematical Society, (2), vol. 36 (1933), pp. 407-424. · Zbl 0007.16003
[20] F. Riesz, Sur les polynômes trigonométriques, Comptes Rendus, vol. 158 (1914), pp. 1657-1661. · JFM 45.0405.01
[21] M. Riesz, Sur les maxima des formes bilinéaires et sur les fonctionnelles linéaires, Acta Mathematica, vol. 49 (1926), pp. 465-497. · JFM 53.0259.03
[22] Marcel Riesz, Sur les fonctions conjuguées, Math. Z. 27 (1928), no. 1, 218 – 244 (French). · JFM 53.0259.02 · doi:10.1007/BF01171098
[23] O. Szász, Ueber den Konvergenzexponenten der Fourierschen Reihen gewisser Funktionenklassen, Sitzungsberichte der Bayerischen Akademie der Wissenschaften, Mathematisch-Physikalische Klasse, 1922, pp. 135-150. · JFM 48.0304.02
[24] G. Szegö, Ueber einen Satz der Herrn Serge Bernstein, Schriften der Königsberger gelehrten Gesellschaft, Naturwissenschaftliche Klasse, vol. 5 (1928), pp. 59-70. · JFM 54.0311.03
[25] E. C. Titchmarsh, On conjugate functions, Proceedings of the London Mathematical Society, (2), vol. 29 (1929), pp. 49-80. · JFM 54.0307.01
[26] Z. Waraszkiewicz, Remarque sur un théorème de M. Zygmund, Bulletin International de l’Académie Polonaise, Classe des Sciences Mathématiques et Naturelles, (A), 1929, pp. 275-279. · JFM 55.0162.02
[27] H. Weyl, Bemerkungen zum Begriff der Differentialquotienten gebrochener Ordnung, Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich, vol. 62 (1917), pp. 296-302. · JFM 46.0437.01
[28] A. Zygmund, Remarque sur la convergence absolue des séries de Fourier, Journal of the London Mathematical Society, vol. 3 (1928), pp. 194-196. · JFM 54.0303.01
[29] A. Zygmund, Sur les fonctions conjuguées, Fundamenta Mathematicae, vol. 13 (1929), pp. 284-303. · JFM 55.0751.02
[30] A. Zygmund, On a theorem of Privaloff, Studia Mathematica, vol. 3 (1931), pp. 239-247. · JFM 57.0321.01
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