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arXiv · 0912.1945

Time-Frequency Partitions and Characterizations of Modulation Spaces with Localization Opertors

Monika Doerfler·Karlheinz Groechenig
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Abstract

We study families of time-frequency localization operators and derive a new characterization of modulation spaces. This characterization relates the size of the localization operators to the global time-frequency distribution. As a by-product, we obtain a new proof for the existence of multi-window Gabor frames and extend the structure theory of Gabor frames.

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Monika Doerfler, Karlheinz Groechenig. 2009-12-10. Time-Frequency Partitions and Characterizations of Modulation Spaces with Localization Opertors. https://arxiv.org/abs/0912.1945

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