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

 

The approximation by partial sums of Fourier series


Authors: R. Salem and A. Zygmund
Journal: Trans. Amer. Math. Soc. 59 (1946), 14-22
MSC: Primary 42.4X
MathSciNet review: 0015538
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References [Enhancements On Off] (What's this?)

  • [1] M. L. Cartwright, On analytic functions regular in the unit circle, Quart. J. Math. vol. 4 (1933) pp. 246-247.
  • [2] G. H. Hardy and J. E. Littlewood, Some properties of conjugate functions, J. Reine Angew. Math. vol. 167 (1932) pp. 405-423.
  • [3] Ch. J. de la Vallée Poussin, Leçons sur l'approximation, Paris, 1919.
  • [4] A. Zygmund, Smooth functions, Duke Math. J. 12 (1945), 47–76. MR 0012691 (7,60b)
  • [5] -, Trigonometrical series, Warszawa-Lwów, 1935.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1946-0015538-0
PII: S 0002-9947(1946)0015538-0
Article copyright: © Copyright 1946 American Mathematical Society