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.
No institution available
Mathematics
, 2025, Issue 1, pp. 1–10
ISSN Online: 0000-0000
DOI:
10.xxxx/example-doi