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arXiv · 2107.00954

Uncertainty principles for the windowed Opdam--Cherednik transform

Shyam Swarup Mondal·Anirudha Poria
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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.

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BibTeXRIS

Shyam Swarup Mondal, Anirudha Poria. 2021-07-02. Uncertainty principles for the windowed Opdam--Cherednik transform. https://doi.org/10.1002/mma.9596

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