Wavelet decompositions of Fourier multipliers

Berkson, Earl; Paluszyński, Maciej; Weiss, Guido

doi:10.1090/S0002-9939-97-03991-9

Wavelet decompositions of Fourier multipliers
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by Earl Berkson, Maciej Paluszyński and Guido Weiss PDF

Proc. Amer. Math. Soc. 125 (1997), 2395-2399 Request permission

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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