Geodesic
On Fourier coefficients with respect to the Walsh double system
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 22-25

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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 $g(x,y)\in L^p[0,1]^2$ coinciding with $f(x,y)$ except a set of small measure such that the non-zero coefficients of $g(x,y)$ are monotonically decreasing over all rays in absolute value.
Keywords: Walsh double system
Mots-clés : Fourier coefficients. 
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A. B. Minasyan. On Fourier coefficients with respect to the Walsh double system. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2014), pp. 22-25. http://geodesic.mathdoc.fr/item/UZERU_2014_1_a4/