ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM

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ON FOURIER COEFFICIENTS WITH RESPECT TO THE WALSH DOUBLE SYSTEM Artavazd [email protected]

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.

DOI: 10.46991/PYSUA.2014.48.1.022 Physical and Mathematical Sciences, 48(1 (233) 22-25

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Keywords

Walsh double system, Fourier coefficients

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