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This article is cited in 7 scientific papers (total in 7 papers)
On the summability and convergence of non-harmonic Fourier series
A. M. Sedletskii
Abstract:
We consider systems of exponentials that are orthogonal to measures $d\sigma$ of a special form on $(-a,a)$. Under certain conditions on the summation method, these systems form summation bases $L^p(-a,a)$ and in $C_0$ (the subspace of $C[-a,a]$ orthogonal
to $d\sigma$). With respect to these systems, Lipschitzian functions in $C_0$ are expanded into non-harmonic Fourier series that converge uniformly on $[-a,a]$.
Received: 03.11.1998
Citation:
A. M. Sedletskii, “On the summability and convergence of non-harmonic Fourier series”, Izv. RAN. Ser. Mat., 64:3 (2000), 151–168; Izv. Math., 64:3 (2000), 583–600
Linking options:
https://www.mathnet.ru/eng/im292https://doi.org/10.1070/im2000v064n03ABEH000292 https://www.mathnet.ru/eng/im/v64/i3/p151
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Abstract page: | 560 | Russian version PDF: | 251 | English version PDF: | 17 | References: | 76 | First page: | 1 |
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