Uncertainty principles for the windowed Opdam–Cherednik transform
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 kk‐entropy of the
windowed Opdam–Cherednik transform.
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 kk‐entropy of the
windowed Opdam–Cherednik transform.
Uncertainty principles for the windowed Opdam--Cherednik transform
S Swarup Mondal, A Poria - arXiv e-prints, 2021 - ui.adsabs.harvard.edu
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.
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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