Every covariant, continuous time-frequency representation is a constant multiple of a metaplectic Wigner distribution.
More Uncertainty Principles for Metaplectic Time-Frequency Representations
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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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2025 1verdicts
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A Characterization of Metaplectic Time-Frequency Representations
Every covariant, continuous time-frequency representation is a constant multiple of a metaplectic Wigner distribution.