Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces
arXiv:2107.00951 · doi:10.1002/mma.8376
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{é}n-Lindl{ö}f type result for several complex variables on weighted modulation spaces and the properties of the Gaussian kernel associated with the Jacobi-Cherednik operator.
arXiv admin note: text overlap with arXiv:2005.14274, arXiv:2104.15112
References in corpus (4)
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- Uncertainty principles for the Opdam-Cherednik transform on modulation spaces
- Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces
- Uncertainty principles for the windowed Opdam--Cherednik transform