Time-frequency analysis on groups
Functional Analysis
2020-09-21 v1
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.
Cite
@article{arxiv.2009.08945,
title = {Time-frequency analysis on groups},
author = {Ville Turunen},
journal= {arXiv preprint arXiv:2009.08945},
year = {2020}
}
Comments
44 pages, 4 figures