Uncertainty principles for the Opdam–Cherednik transform on modulation spaces

DOI10.1080/10652469.2020.1813129zbMath1484.44004arXiv2005.14274OpenAlexW3031688812MaRDI QIDQ4959453

Anirudha Poria

Publication date: 13 September 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.14274

zbMATH Keywords

modulation spacesHardy's theoremOpdam-Cherednik transformCowling-Price's theoremMorgan's theorem

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 (5)

Hausdorff operators associated with the Opdam-Cherednik transform in Lebesgue spaces ⋮ Localization operators associated with the windowed Opdam–Cherednik transform on modulation spaces ⋮ Qualitative uncertainty principles for the windowed Opdam–Cherednik transform on weighted modulation spaces ⋮ Uncertainty principles for the windowed Opdam–Cherednik transform ⋮ Weighted norm inequalities for the Opdam–Cherednik transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Qualitative uncertainty principles for the generalized Fourier transform associated to a Dunkl type operator on the real line
• Uncertainty principles for the Cherednik transform
• Real Paley-Wiener theorems and Roe's theorem associated with the Opdam-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
• 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
• Cowling-Price theorem and characterization of heat kernel on symmetric spaces
• Harmonic analysis for certain representations of graded Hecke algebras
• Contributions to the hypergeometric function theory of Heckman and Opdam: Sharp estimates, Schwartz space, heat kernel
• Spectral theorems associated with the Jacobi-Cherednik operator
• An elementary approach to the hypergeometric shift operators of Opdam
• 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 L^P version of Hardy's theorem for the Dunkl transform
• A Theorem Concerning Fourier Transforms
• A Note on Fourier Transforms
• Qualitative uncertainty principles for the Opdam–Cherednik transform
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

This page was built for publication: Uncertainty principles for the Opdam–Cherednik transform on modulation spaces