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This article is cited in 1 scientific paper (total in 1 paper)
On divergent Fourier series in orthogonal systems
A. S. Krantsberg
Abstract:
In this work there is constructed a complete orthonormal system with respect to which the Fourier series of piecewise continuous non-identically-zero functions diverge a.e. There is also constructed an orthonormal system with respect to which the Fourier series of continuous functions converge a.e., while the Fourier series of bounded functions having at least one discontinuity of the first kind diverge a.e.
Bibliography: 10 titles.
Received: 08.05.1973
Citation:
A. S. Krantsberg, “On divergent Fourier series in orthogonal systems”, Math. USSR-Sb., 22:4 (1974), 547–560
Linking options:
https://www.mathnet.ru/eng/sm3477https://doi.org/10.1070/SM1974v022n04ABEH001704 https://www.mathnet.ru/eng/sm/v135/i4/p540
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Abstract page: | 367 | Russian version PDF: | 98 | English version PDF: | 19 | References: | 54 |
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