2014; Physical and Mathematical Sciences, 48(1 (233): 22–25
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ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM

Artavazd Minasyan*

Received: 2025-02-17 · Published: 2014-04-10

© 2014 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM
Author
Artavazd Minasyan
Published
2014-04-10
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.46991/PYSUA.2014.48.1.022

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)∈Lp[0,1]2 one can find a function g∈Lp[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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