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

DOI10.1002/mma.8376arXiv2107.00951OpenAlexW3182655596MaRDI QIDQ6142171

Shyam Swarup Mondal, Anirudha Poria

Publication date: 21 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00951

zbMATH Keywords

Hardy's theoremweighted modulation spacesCowling-Price's theoremMorgan's theoremwindowed Opdam-Cherednik transform

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other transforms and operators of Fourier type (43A32)

Related Items

Uncertainty principles for the windowed Opdam–Cherednik transform

Cites Work

• Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line
• Uncertainty principles for the Cherednik transform
• Heat ``polynomials for a singular differential operator on (0,\(\infty)\)
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• A uniqueness theorem of Beurling for Fourier transform pairs
• The uncertainty principle: A mathematical survey
• Gabor frames and time-frequency analysis of distributions
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• Uncertainty principle and the \(L^p\)-\(L^q\)-version of Morgan's theorem on some groups
• Foundations of time-frequency analysis
• Lecture notes on Dunkl operators for real and complex reflection groups
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• An elementary approach to the hypergeometric shift operators of Opdam
• Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
• Uncertainty Principles and Signal Recovery
• POSITIVITY OF THE INTERTWINING OPERATOR AND HARMONIC ANALYSIS ASSOCIATED WITH THE JACOBI-DUNKL OPERATOR ON ${\mathbb R}$
• Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
• An analogue of Hardy's theorem for the Heisenberg group
• An L^P version of Hardy's theorem for the Dunkl transform
• Uncertainty principles for the Opdam–Cherednik transform on modulation spaces
• Qualitative uncertainty principles for the Opdam–Cherednik transform
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
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