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 $k$-entropy of the windowed Opdam--Cherednik transform.

arXiv admin note: text overlap with arXiv:2104.15112

References in corpus (5)

• Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
• Localization operators associated with the windowed Opdam-Cherednik transform on modulation spaces
• Remarks on the inverse Cherednik-Opdam transform on the real line
• Weighted Norm Inequalities for the Opdam--Cherednik Transform
• Qualitative uncertainty principles for the windowed Opdam--Cherednik transform on weighted modulation spaces

Cited by in corpus (1)

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