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arXiv · 2009.08945

Time-frequency analysis on groups

Ville Turunen
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Abstract

Phase-space analysis or time-frequency analysis can be thought as Fourier analysis simultaneously both in time and in frequency, originating from signal processing and quantum mechanics. On groups having unitary Fourier transform, we introduce and study a natural family of time-frequency transforms, and investigate the related pseudo-differential operators.

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Ville Turunen. 2020-09-16. Time-frequency analysis on groups. https://arxiv.org/abs/2009.08945

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