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

Mondal, Shyam Swarup; Poria, Anirudha

doi:10.1002/mma.8376

Cited by 2 publications

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“…For instance, these uncertainty inequalities were obtained in Johansen [24] for the Heckman-Opdam transform, and in Mondal and Poria [40] for the Opdam-Cherednik transform. Some recent work on the windowed Opdam-Cherednik transform [29,41] motivates us to study a few quantitative uncertainty principles for this transform. The main aim of this paper is to study a few uncertainty principles related to the windowed Opdam-Cherednik transform.…”

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confidence: 99%

Uncertainty principles for the windowed Opdam–Cherednik transform

Mondal

Poria

2023

Math Methods in App Sciences

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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.

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