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arXiv · 2109.13393

Invertibility of Positive Toeplitz Operators and Associated Uncertainty Principle

A. Walton Green·Mishko Mitkovski
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Abstract

We study invertibility and compactness of positive Toeplitz operators associated to a continuous Parseval frame on a Hilbert space. As applications, we characterize compactness of affine and Weyl-Heisenberg localization operators as well as give uncertainty principles for the associated transforms.

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A. Walton Green, Mishko Mitkovski. 2021-09-27. Invertibility of Positive Toeplitz Operators and Associated Uncertainty Principle. https://arxiv.org/abs/2109.13393

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