More Uncertainty Principles for Metaplectic Time-Frequency Representations

2025/03/17 by Gröchenig, Karlheinz, Shafkulovska, Irina · 2 citations
#22E46 #81S07 #81S30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2503.13324

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.

Cited by

• On the microlocal phase space concentration of Schrödinger evolutions
• Quantitative uncertainty principles for time-frequency Gaussian decay

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