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More Uncertainty Principles for Metaplectic Time-Frequency Representations

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arxiv 2503.13324 v1 pith:TUQSDGIY submitted 2025-03-17 math.FA

Karlheinz Gröchenig , Irina Shafkulovska This is my paper · ORCID
classification math.FA
keywords uncertaintymetaplectictime-frequencyfourierprincipleprinciplesrepresentationsbeurling-type
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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.

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  1. A Characterization of Metaplectic Time-Frequency Representations

    math.FA 2025-05 accept novelty 7.0 of 10

    Every covariant, continuous time-frequency representation is a constant multiple of a metaplectic Wigner distribution.

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