Natural Science, Mathematics, 2025
ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM
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Submitted: 2025-02-17; Published: 2025-02-17
Š 2025 by author(s) and The Gufo Inc.
This work is licensed under Creative Commons AttributionâNonCommercial International License
(CC BY-NC 4.0).
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)âLp[0,1]2 one can find a function gâLp[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.