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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


On the partial sums of harmonic developments and of power series

Author: Otto Szász
Journal: Trans. Amer. Math. Soc. 52 (1942), 12-21
MSC: Primary 42.4X
MathSciNet review: 0006757
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  • [1] L. Fejér, Neue Eigenschaften der Mittelwerte bei den Fourierreihen, Journal of the London Mathematical Society, vol. 8 (1933), pp. 53-62.
  • [2] S. Mandelbrojt, Quelques remarques sur les fonctions univalentes, Bulletin des Sciences Mathématiques, (2), vol. 58 (first part) (1934), pp. 185-200.
  • [3] Malcolm I. S. Robertson, On the theory of univalent functions, Ann. of Math. (2) 37 (1936), no. 2, 374–408. MR 1503286,
  • [4] Werner Rogosinski, Über positive harmonische Entwicklungen und typisch-reelle Potenzreihen, Math. Z. 35 (1932), no. 1, 93–121 (German). MR 1545292,
  • [5] I. Schur and G. Szegö, Über die Abschnitte einer im Einheitskreise beschränkten Potenzreihe, Sitzungsberichte der Preussischen Akademie, 1923, pp. 545-560.
  • [6] Otto Szász, On the Cesàro and Riesz means of Fourier series, Compositio Math. 7 (1939), 112–122. MR 0000851 (1,138c)
  • [7] P. Turán, Über die montone Konvergenz der Cesàro-Mittel bei Fourier- und Potenzreihen, Proceedings of the Cambridge Philosophical Society, vol. 34, Part II (1938), pp. 134-143.
  • [8] A. Zygmund, Trigonometrical Series, 1935.

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PII: S 0002-9947(1942)0006757-4
Article copyright: © Copyright 1942 American Mathematical Society

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