English

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}
}

Comments

12 pages

R2 v1 2026-06-23T10:21:07.714Z