Invertibility of Positive Toeplitz Operators and Associated Uncertainty Principle
Functional Analysis
2021-11-22 v2 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.2109.13393,
title = {Invertibility of Positive Toeplitz Operators and Associated Uncertainty Principle},
author = {A. Walton Green and Mishko Mitkovski},
journal= {arXiv preprint arXiv:2109.13393},
year = {2021}
}
Comments
v2. additional references added