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This article is cited in 5 scientific papers (total in 5 papers)
On equiconvergence of expansions in trigonometric Fourier series and in principal functions of ordinary differential operators
A. I. Vahabov
Abstract:
A regularity concept is given for ordinary differential pencils of a general form in a space of vector-valued functions, and this concept is subjected to analysis. Theorems are established asserting that the Fourier series of an arbitrary vector-valued function in the system of eigenelements of the pencils is equiconvergent with the usual trigonometric Fourier series of the components of this vector-valued function.
Bibliography: 7 titles.
Citation:
A. I. Vahabov, “On equiconvergence of expansions in trigonometric Fourier series and in principal functions of ordinary differential operators”, Izv. Akad. Nauk SSSR Ser. Mat., 48:3 (1984), 614–630; Math. USSR-Izv., 24:3 (1985), 567–582
Linking options:
https://www.mathnet.ru/eng/im1459https://doi.org/10.1070/IM1985v024n03ABEH001253 https://www.mathnet.ru/eng/im/v48/i3/p614
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Abstract page: | 341 | Russian version PDF: | 96 | English version PDF: | 7 | References: | 46 | First page: | 1 |
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