Proceedings of the American Mathematical Society

Author(s): Earl Berkson; Maciej Paluszynski; Guido Weiss
Journal: Proc. Amer. Math. Soc. 125 (1997), 2395-2399.
MSC (1991): Primary 42A45, 42C15
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 42A45, 42C15

Earl Berkson
Affiliation: Department of Mathematics, University of Illinois, 1409 West Green St., Urbana, Illinois 61801

Maciej Paluszynski
Affiliation: Institute of Mathematics, University of Wroclaw, Wroclaw, Poland

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

DOI: 10.1090/S0002-9939-97-03991-9
PII: S 0002-9939(97)03991-9
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 of article: Copyright 1997, American Mathematical Society

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