@article{24695d780a434bbbbe8bc2c8ccffeff3,
title = "Uncertainty principles for the Opdam–Cherednik transform on modulation spaces",
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 = "33C45, 42B35, 43A32, 44A15, Cowling–Price's theorem, Hardy's theorem, modulation spaces, Morgan's theorem, Opdam–Cherednik transform",
author = "Anirudha Poria",
note = "Funding Information: The author is deeply indebted to Prof. S. Thangavelu for several fruitful discussions and generous comments. The author is grateful to the University Grants Commission, India for providing the Dr D. S. Kothari Post Doctoral Fellowship (Award No.- F.4-2/2006 (BSR)/MA/18-19/0032). The author also wishes to thank the anonymous referee for valuable comments and suggestions which helped to improve the quality of the paper. Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",
year = "2021",
doi = "10.1080/10652469.2020.1813129",
language = "English",
volume = "32",
pages = "191--206",
journal = "Integral Transforms and Special Functions",
issn = "1065-2469",
number = "3",
}