Affiliation:
1. Department of Mathematics, Indian Institute of Technology Delhi New Delhi India
2. Department of Mathematics Bar‐Ilan University Ramat‐Gan Israel
3. Department of Mathematics SRM Institute of Science and Technology Kattankulathur India
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
‐entropy of the windowed Opdam–Cherednik transform.
Funder
H2020 European Research Council
Subject
General Engineering,General Mathematics