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arXiv · 2503.13324

More Uncertainty Principles for Metaplectic Time-Frequency Representations

Karlheinz Gröchenig·Irina Shafkulovska
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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.

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Karlheinz Gröchenig, Irina Shafkulovska. 2025-03-17. More Uncertainty Principles for Metaplectic Time-Frequency Representations. https://arxiv.org/abs/2503.13324

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