Hardy's theorem and rotation for Dunkl transform

DOI10.1080/17476933.2019.1704278zbMath1468.43002OpenAlexW2999955469WikidataQ126398927 ScholiaQ126398927MaRDI QIDQ5856112

Partha Sarathi Patra, Venku Naidu Dogga

Publication date: 24 March 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2019.1704278

zbMATH Keywords

uncertainty principleDunkl transformDunkl-Hermite semigroup

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Difference operators (39A70) Other transforms and operators of Fourier type (43A32) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

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• Hardy's theorem and rotations of several complex variables
• A uniqueness theorem of Beurling for Fourier transform pairs
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• The uncertainty principle: A mathematical survey
• An introduction to the uncertainty principle. Hardy's theorem on Lie groups. With a foreword by Gerald B. Folland
• Convolution operator and maximal function for the Dunkl transform
• Hardy’s theorem and rotations
• Differential-Difference Operators Associated to Reflection Groups
• An uncertainty principle for the Dunkl transform
• Orthogonal Polynomials for a Family of Product Weight Functions on the Spheres
• A Theorem Concerning Fourier Transforms

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