Concerning a sufficient condition of sidon for the integrability of trigonometric series-Reference-Cited by-同舟云学术

Concerning a sufficient condition of sidon for the integrability of trigonometric series

Published:1973-09 Issue:3 Volume:14 Page:742-748
ISSN:0001-4346
Container-title:Mathematical Notes of the Academy of Sciences of the USSR
language:en
Short-container-title:Mathematical Notes of the Academy of Sciences of the USSR

Author:

Telyakovskii S. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01147448.pdf

Reference10 articles.

1. W. H. Young, ?On the Fourier series of bounded functions,? Proc. London Math. Soc. (2),12, No. 1, 41?70 (1913).

2. A. N. Kolmogorov, ?Sur l'ordre de grandeur des coefficients de la série de Fourier-Lebesgue,? Bull. Acad. Polon. Sci. (A), Sci. Math. 83?86 (1923).

3. A. Zygmund, Trigonometrical Series, Dover, New York (1955).

4. S. A. Telyakovskii, ?Conditions of integrability of trigonometric series and their application to the study of linear methods for summing Fourier series,? Izv. Akad. Nauk SSSR. Ser. Matem.,28, No. 6, 1209?1236 (1964).

5. S. Sidon, ?Hinreichende Bedingungen für den Fourier-Charakter einer trigonometrischen Reihe,? J. London Math. Soc.,14, No. 2, 158?160 (1939).

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