Characterization of coorbit spaces with phase-space covers

Details Characterization of coorbit spaces with phase-space covers Characterization of coorbit spaces with phase-space covers

2010-07-20

arxiv.org/abs/1007.3528v2

Mathematics

Functional Analysis

31 pages. Revised version (title slightly changed). Typos fixed

Scientific paper

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.

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