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Natural Science, Mathematics, 2025
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THE REPRESENTATION OF FUNCTIONS BY WALSH DOUBLE SYSTEMIN WEIGHTED Lpμ [0,1)2-SPACES

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Submitted: 2025-01-29; Published: 2025-01-29
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In this work we construct a weighted spaceLpμ,p≄1,in which functionswith the norm of that space are presented by Walsh double series, whichcoefficients are monotone in all ways