TY - JOUR
AU - Minasyan, A.B.
PY - 2014/04/10
Y2 - 2024/08/04
TI - ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM
JF - Proceedings of the YSU A: Physical and Mathematical Sciences
JA - Proc. YSU A: Phys. Math. Sci.
VL - 48
IS - 1 (233)
SE - Mathematics
DO - 10.46991/PSYU:A/2014.48.1.022
UR - https://journals.ysu.am/index.php/proceedings-phys-math/article/view/vol48_no1_2014_pp022-025
SP - 22-25
AB - <p>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.</p>
ER -