More Uncertainty Principles for Metaplectic Time-Frequency Representations
Functional Analysis
2025-03-18 v1
Abstract
We develop a method for the transfer of an uncertainty principle for the short-time Fourier transform or a Fourier pair to an uncertainty principle for a sesquilinear or quadratic metaplectic time-frequency representation. In particular, we derive Beurling-type and Hardy-type uncertainty principles for metaplectic time-frequency representations.
Keywords
Cite
@article{arxiv.2503.13324,
title = {More Uncertainty Principles for Metaplectic Time-Frequency Representations},
author = {Karlheinz Gröchenig and Irina Shafkulovska},
journal= {arXiv preprint arXiv:2503.13324},
year = {2025}
}
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24 pages