Uncertainty principles for the windowed Opdam--Cherednik transform
Functional Analysis
2023-12-25 v2
Abstract
In this paper, we study a few versions of the uncertainty principle for the windowed Opdam--Cherednik transform. In particular, we establish the uncertainty principle for orthonormal sequences, Donoho--Stark's uncertainty principle, Benedicks-type uncertainty principle, Heisenberg-type uncertainty principle and local uncertainty inequality for this transform. We also obtain the Heisenberg-type uncertainty inequality using the -entropy of the windowed Opdam--Cherednik transform.
Keywords
Cite
@article{arxiv.2107.00954,
title = {Uncertainty principles for the windowed Opdam--Cherednik transform},
author = {Shyam Swarup Mondal and Anirudha Poria},
journal= {arXiv preprint arXiv:2107.00954},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2104.15112