@article{dcc812041bda474baeaf42c9488be29a,
title = "Qualitative uncertainty principles for the windowed Opdam–Cherednik transform on weighted modulation spaces",
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 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 = "Cowling–Price's theorem, Hardy's theorem, Morgan's theorem, weighted modulation spaces, windowed Opdam–Cherednik transform",
author = "Mondal, {Shyam Swarup} and Anirudha Poria",
note = "Funding Information: The first author gratefully acknowledges the support provided by IIT Guwahati, Government of India. The second author is deeply indebted to Prof. Nir Lev for several fruitful discussions and generous comments. The authors wish to thank the anonymous referees for their helpful comments and suggestions that helped to improve the quality of the paper. Research was supported by the European Research Council Starting Grant No. 713927. Funding Information: The first author gratefully acknowledges the support provided by IIT Guwahati, Government of India. The second author is deeply indebted to Prof. Nir Lev for several fruitful discussions and generous comments. The authors wish to thank the anonymous referees for their helpful comments and suggestions that helped to improve the quality of the paper. Research was supported by the European Research Council Starting Grant No. 713927. Publisher Copyright: {\textcopyright} 2022 John Wiley & Sons, Ltd.",
year = "2022",
month = nov,
day = "15",
doi = "10.1002/mma.8376",
language = "English",
volume = "45",
pages = "10424--10439",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
number = "16",
}