Ingham-type theorems for the Dunkl Fourier transforms

DOI10.1080/17476933.2020.1851209OpenAlexW3117459307MaRDI QIDQ5071706

Mithun Bhowmik, Sanjay Parui, Sanjoy Pusti

Publication date: 22 April 2022

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

Full work available at URL: https://doi.org/10.1080/17476933.2020.1851209

zbMATH Keywords

uncertainty principleIngham's theoremDunkl Fourier transform

Mathematics Subject Classification ID

Other transforms and operators of Fourier type (43A32) Reflection groups, reflection geometries (51F15) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items

Analogues of Beurling's theorem for some integral transforms, Completeness of exponentials and Beurling's theorem on \(\mathbb{R}^n\) and \(\mathbb{T}^n\)

Cites Work

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• Convolution operator and maximal function for the Dunkl transform
• Differential-Difference Operators Associated to Reflection Groups
• Notes on the Theory and Application of Fourier Transforms. I-II
• A Note on Fourier Transforms
• A Theorem of Levinson for Riemannian Symmetric Spaces of Noncompact Type
• Paley–Wiener theorems for the Dunkl transform