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Wavelet decompositions of Fourier multipliers
Authors:Earl Berkson  Maciej Paluszynski  Guido Weiss
Institution:Department of Mathematics, University of Illinois, 1409 West Green St., Urbana, Illinois 61801

Maciej Paluszynski ; Institute of Mathematics, University of Wroclaw, Wroclaw, Poland

Guido Weiss ; Department of Mathematics, Washington University, St. Louis, Missouri 63130

Abstract:We show that in terms of its weak${}^{*}$ topology, the space of Fourier multipliers for $L^{p}(\mathbb {R})$, $1<p<\infty $, can be decomposed by band-limited wavelets belonging to the Schwartz class.

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