Invertibility of Positive Toeplitz Operators and Associated Uncertainty Principle

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Fourier Analysis and Applications

سال: 2023

ISSN: ['1531-5851', '1069-5869']

DOI: https://doi.org/10.1007/s00041-023-10014-6