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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 178, Pages 151–162
(Mi znsl4680)
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This article is cited in 1 scientific paper (total in 1 paper)
On uniformly convergent double Fourier series
S. V. Kislyakov
Abstract:
The uniform convergence in question is defined by means of a system of mutually homotetic starlike polygons. It is established, among other things, that an arbitrary positive sequence in $l^2(\mathbb{T}^2)$ can be majorized by the sequence of absolute values of coefficients of a uniformly convergent double Fourier series.
Citation:
S. V. Kislyakov, “On uniformly convergent double Fourier series”, Investigations on linear operators and function theory. Part 18, Zap. Nauchn. Sem. LOMI, 178, "Nauka", Leningrad. Otdel., Leningrad, 1989, 151–162; J. Soviet Math., 61:2 (1992), 2038–2044
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https://www.mathnet.ru/eng/znsl4680 https://www.mathnet.ru/eng/znsl/v178/p151
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Abstract page: | 303 | Full-text PDF : | 111 |
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