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W2006659907 abstract "In this paper the concept of generalized localization almost everywhere (GL) is analyzed for the multiple Fourier-Walsh series of functions in , , summable over rectangles. (For multiple trigonometric series and Fourier integrals GL was introduced and analyzed earlier by one of the authors.) If 1$ SRC=http://ej.iop.org/images/1064-5616/186/2/A02/tex_sm_11_img5.gif/>, then it is proved that GL holds for double Walsh-Fourier series on any open set. It breaks down on any set which is not dense in if and and also in the class if . All results on the Walsh system obtained in this paper are identical to the results on GL for Fourier series in the trigonometric system obtained earlier by one of the authors." @default.
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W2006659907 creator A5080084490 @default.
W2006659907 date "1995-02-28" @default.
W2006659907 modified "2023-09-23" @default.
W2006659907 title "Generalized localization for the multiple Walsh-Fourier series of functions in $ L_p$, $ pgeqslant 1$" @default.
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W2006659907 doi "https://doi.org/10.1070/sm1995v186n02abeh000011" @default.
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