Uncertainty principles for the Opdam-Cherednik transform on modulation spaces
Functional Analysis
2021-05-03 v2 Classical Analysis and ODEs
Abstract
In this paper, we establish the Cowling--Price's, Hardy's and Morgan's uncertainty principles for the Opdam-Cherednik transform on modulation spaces associated with this transform. The proofs of the theorems are based on the properties of the heat kernel associated with the Jacobi-Cherednik operator and the versions of the Phragm{\'e}n-Lindl{\"o}f type result for the modulation spaces.
Keywords
Cite
@article{arxiv.2005.14274,
title = {Uncertainty principles for the Opdam-Cherednik transform on modulation spaces},
author = {Anirudha Poria},
journal= {arXiv preprint arXiv:2005.14274},
year = {2021}
}