Uncertainty principles for the windowed offset linear canonical transform
Classical Analysis and ODEs
2019-11-07 v3
Abstract
The windowed offset linear canonical transform (WOLCT) can be identified as a generalization of the windowed linear canonical transform (WLCT). In this paper, we generalize several different uncertainty principles for the WOLCT, including Heisenberg uncertainty principle, Hardy's uncertainty principle, Beurling's uncertainty principle, Lieb's uncertainty principle, Donoho-Stark's uncertainty principle, Amrein-Berthier-Benedicks's uncertainty principle, Nazarov's uncertainty principle and Logarithmic uncertainty principle.
Keywords
Cite
@article{arxiv.1907.06469,
title = {Uncertainty principles for the windowed offset linear canonical transform},
author = {Wen-Biao Gao and Bing-Zhao Li},
journal= {arXiv preprint arXiv:1907.06469},
year = {2019}
}
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12 pages