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arXiv · 1705.10619

The Zak transform and Wiener estimates on Gelfand-Shilov and modulation spaces with applications to operator theory

Joachim Toft
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Abstract

We characterize Gelfand-Shilov spaces, their distribution spaces and modulation spaces in terms of estimates of their Zak transforms. We use these result for general investigations of quasi-periodic functions and distributions. We also establish necessary and sufficient conditions for linear operators in order for these operators should be conjugations by the Zak transform.

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Joachim Toft. 2017-05-28. The Zak transform and Wiener estimates on Gelfand-Shilov and modulation spaces with applications to operator theory. https://arxiv.org/abs/1705.10619

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