Abstract
For any $0<\epsilon <1,\ p\geq 1$ and each function $f\in L^{p}[0,1]$ one can find a function $g\in L^{p}[0,1],\ mes\{x\in \lbrack 0,1] ;\ g\neq f\}<\epsilon $, such that the sequence $\{|c_{k}(g)|,\ k\in spec(g)\}$ is monotonically decreasing, where $\{c_{k}(g)\}$ is\ the sequence of Fourier-Walsh coefficients of the function $g(x)$.
Citation
Martin G. Grigoryan. "OntheFourier-Walsh Coefficients." Real Anal. Exchange 35 (1) 157 - 166, 2009/2010.
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