More Uncertainty Principles for Metaplectic Time-Frequency Representations

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-17
Primary Topic
Mathematical Analysis and Transform Methods
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article
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More Uncertainty Principles for Metaplectic Time-Frequency Representations

ArXiv.org
Mathematical Analysis and Transform Methods
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More Uncertainty Principles for Metaplectic Time-Frequency Representations

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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.

ArXiv.org
Openalex Percentile: Top 40%
Mathematical Analysis and Transform Methods
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More Uncertainty Principles for Metaplectic Time-Frequency Representations · ArXiv.org (2025) | TGRS Research Map | TGRS