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This article is cited in 10 scientific papers (total in 11 papers)
On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions
S. V. Bochkarev
Abstract:
The paper is devoted to the absolute convergence of Fourier series of absolutely continuous functions in arbitrary bounded complete orthonormal systems of functions. The results obtained are new even for the classical systems, namely the trigonometric system and the Walsh system.
Bibliography: 8 titles.
Received: 26.04.1973
Citation:
S. V. Bochkarev, “On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions”, Mat. Sb. (N.S.), 93(135):2 (1974), 203–217; Math. USSR-Sb., 22:2 (1974), 201–216
Linking options:
https://www.mathnet.ru/eng/sm2971https://doi.org/10.1070/SM1974v022n02ABEH001691 https://www.mathnet.ru/eng/sm/v135/i2/p203
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Abstract page: | 403 | Russian version PDF: | 110 | English version PDF: | 7 | References: | 37 | First page: | 1 |
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