ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM

Authors

  • A.B. Minasyan Chair of Higher Mathematics, Faculty of Physics, YSU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2014.48.1.022

Keywords:

Walsh double system, Fourier coefficients

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 $g\in L^{p}[0,1]^{2}$ coinciding with $f(x,y)$ on a small measure such that the non-zero coefficients of $g(x,y)$ are monotonically decreasing over all rays by absolute values.

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Published

2014-04-10

How to Cite

Minasyan, A. (2014). ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM. Proceedings of the YSU A: Physical and Mathematical Sciences, 48(1 (233), 22–25. https://doi.org/10.46991/PSYU:A/2014.48.1.022

Issue

Section

Mathematics