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.References
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Additional Information
- Earl Berkson
- Affiliation: Department of Mathematics, University of Illinois, 1409 West Green St., Urbana, Illinois 61801
- Maciej Paluszyński
- Affiliation: Institute of Mathematics, University of Wroclaw, Wroclaw, Poland
- Guido Weiss
- Affiliation: Department of Mathematics, Washington University, St. Louis, Missouri 63130
- MR Author ID: 199037
- Received by editor(s): March 4, 1996
- Additional Notes: The work of the first and third authors was supported by separate grants from the National Science Foundation (U.S.A.)
The second author wishes to thank DARPA for its support - Communicated by: J. Marshall Ash
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2395-2399
- MSC (1991): Primary 42A45, 42C15
- DOI: https://doi.org/10.1090/S0002-9939-97-03991-9
- MathSciNet review: 1416076