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 (Formula presented.) -entropy of the windowed Opdam–Cherednik transform.
Original language | English |
---|---|
Pages (from-to) | 18861-18877 |
Number of pages | 17 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 46 |
Issue number | 18 |
DOIs | |
Publication status | Published - 2023 |
Keywords
- Benedicks-type uncertainty principle
- Donoho–Stark's uncertainty principle
- Heisenberg-type uncertainty inequality
- Opdam–Cherednik transform
- windowed Opdam–Cherednik transform
Fingerprint
Dive into the research topics of 'Uncertainty principles for the windowed Opdam–Cherednik transform'. Together they form a unique fingerprint.Cite this
Mondal, S. S., & Poria, A. (2023). Uncertainty principles for the windowed Opdam–Cherednik transform. Mathematical Methods in the Applied Sciences, 46(18), 18861-18877. https://doi.org/10.1002/mma.9596