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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2014, Issue 1, Pages 22–25
(Mi uzeru46)
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Mathematics
On Fourier coefficients with respect to the Walsh double system
A. B. Minasyan Yerevan State University
Abstract:
In the present paper we will consider the behavior of Fourier coefficients with respect to the Walsh double system after modification of functions. We prove that for any function $f(x,y)\in L^p[0,1]^2$ one can find a function $g(x,y)\in L^p[0,1]^2$ coinciding with $f(x,y)$ except a set of small measure such that the non-zero coefficients of $g(x,y)$ are monotonically decreasing over all rays in absolute value.
Keywords:
Walsh double system, Fourier coefficients.
Received: 20.02.2014 Accepted: 24.03.2014
Citation:
A. B. Minasyan, “On Fourier coefficients with respect to the Walsh double system”, Proceedings of the YSU, Physical and Mathematical Sciences, 2014, no. 1, 22–25
Linking options:
https://www.mathnet.ru/eng/uzeru46 https://www.mathnet.ru/eng/uzeru/y2014/i1/p22
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Abstract page: | 119 | Full-text PDF : | 21 | References: | 21 |
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