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Wilson Bases and Modulation Spaces

✍ Scribed by H. G. Feichtinger; K. Gröchenig; D. Walnut

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
506 KB
Volume
155
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

We show that the recently discovered WILSON bases of exponential decay are unconditional bases for all modulation spaces on R, including the classical BESSEL potential spaces, the Segal algebra S~o~, and the SCHWARTZ space. As a consequence we obtain new bases for spaces of entire functions. On the other hand, the WILSON bases are no unconditional bases for the ordinary L^p^‐spaces for p ≠ 2.

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