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arXiv · 2107.00951

Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces

Shyam Swarup Mondal·Anirudha Poria
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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.

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Shyam Swarup Mondal, Anirudha Poria. 2021-07-02. Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces. https://doi.org/10.1002/mma.8376

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