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arXiv:1007.3528 [math.FA]AbstractReferencesReviewsResources

Characterization of coorbit spaces with phase-space covers

José Luis Romero

Published 2010-07-20, updated 2011-07-02Version 2

We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, we extend the existing results for time-frequency analysis to an irregular setting.

Comments: 31 pages. Revised version (title slightly changed). Typos fixed
Categories: math.FA
Subjects: 42B35, 42C15, 42C40
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