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Qualitative uncertainty principles for the windowed Opdam–Cherednik transform on weighted modulation spaces
- Source :
- Mathematical Methods in the Applied Sciences. 45(16):10424-10439
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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.<br />Comment: arXiv admin note: text overlap with arXiv:2005.14274, arXiv:2104.15112
Details
- Language :
- English
- ISSN :
- 10991476 and 01704214
- Volume :
- 45
- Issue :
- 16
- Database :
- OpenAIRE
- Journal :
- Mathematical Methods in the Applied Sciences
- Accession number :
- edsair.doi.dedup.....4efe4beed594b1b6e6c6f900cf65a927
- Full Text :
- https://doi.org/10.1002/mma.8376