Uncertainty principles for the windowed Opdam-Cherednik transform
Abstract
In this paper, we study a few versions of the uncertainty principle for the windowed Opdam-Cherednik transform. In particular, we establish the uncertainty principle for orthonormal sequences, Donoho-Stark's uncertainty principle, Benedicks-type uncertainty principle, Heisenberg-type uncertainty principle, and local uncertainty inequality for this transform. We also obtain the Heisenberg-type uncertainty inequality using the -entropy of the windowed Opdam-Cherednik transform.
- Publication:
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Mathematical Methods in the Applied Sciences
- Pub Date:
- December 2023
- DOI:
- arXiv:
- arXiv:2107.00954
- Bibcode:
- 2023MMAS...4618861M
- Keywords:
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- Mathematics - Functional Analysis;
- Primary 44A15;
- Secondary 42C20;
- 33C45
- E-Print:
- arXiv admin note: text overlap with arXiv:2104.15112