TY - JOUR
T1 - Uncertainty principles for the windowed Opdam–Cherednik transform
AU - Mondal, Shyam Swarup
AU - Poria, Anirudha
N1 - Funding Information:
Research is supported by ERC Starting Grant No. 713927. Funding information
Funding Information:
The first author gratefully acknowledges the support provided by IIT Guwahati, Government of India. The second author is deeply indebted to Prof. Nir Lev for several fruitful discussions and generous comments. The authors wish to thank the anonymous referees for their helpful comments and suggestions that helped to improve the quality of the paper.
Publisher Copyright:
© 2023 John Wiley & Sons Ltd.
PY - 2023
Y1 - 2023
N2 - 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 (Formula presented.) -entropy of the windowed Opdam–Cherednik transform.
AB - 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 (Formula presented.) -entropy of the windowed Opdam–Cherednik transform.
KW - Benedicks-type uncertainty principle
KW - Donoho–Stark's uncertainty principle
KW - Heisenberg-type uncertainty inequality
KW - Opdam–Cherednik transform
KW - windowed Opdam–Cherednik transform
UR - http://www.scopus.com/inward/record.url?scp=85167419815&partnerID=8YFLogxK
U2 - 10.1002/mma.9596
DO - 10.1002/mma.9596
M3 - Article
AN - SCOPUS:85167419815
SN - 0170-4214
VL - 46
SP - 18861
EP - 18877
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 18
ER -