Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces
Functional Analysis
2022-10-17 v2
Abstract
The aim of this paper is to establish a few qualitative uncertainty principles for the windowed Opdam-Cherednik transform on weighted modulation spaces associated with this transform. In particular, we obtain the Cowling-Price's, Hardy's and Morgan's uncertainty principles for this transform on weighted modulation spaces. The proofs of the results are based on versions of the Phragm{\'e}n-Lindl{\"o}f type result for several complex variables on weighted modulation spaces and the properties of the Gaussian kernel associated with the Jacobi-Cherednik operator.
Keywords
Cite
@article{arxiv.2107.00951,
title = {Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces},
author = {Shyam Swarup Mondal and Anirudha Poria},
journal= {arXiv preprint arXiv:2107.00951},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2005.14274, arXiv:2104.15112