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Fourier transform acting on the functions defined in the infinite LCA groups. A Grand Lebesgue Spaces approach

Published 8 Oct 2017 in math.FA | (1710.02826v1)

Abstract: We derive in this article the exact norm in the Grand Lebesgue Spaces (GLS) estimates for Fourier transform acting on the functions defined in the infinite local compact Abelian (LCA) group, compact or discrete.

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