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Journal Article
OntheFourier-Walsh Coefficients
2009
Overview
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).
Publisher
Michigan State University Press
Subject
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