An analogue of Beurling's theorem for the Jacobi transform

DOI10.1007/S10114-008-6307-0zbMath1177.33020OpenAlexW2359817757MaRDI QIDQ1034230

He Ping Liu, Ji Zheng Huang, Jian Ming Liu

Publication date: 11 November 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6307-0

zbMATH Keywords

uncertainty principleBeurling's theoremAbel transform

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Integral transforms of special functions (44A20) General harmonic expansions, frames (42C15)

Related Items (2)

On support properties of functions and their Jacobi transform ⋮ An analogue of Beurling's theorem for NA groups

Cites Work

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• A uniqueness theorem of Beurling for Fourier transform pairs
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• On Strichartz's uncertainty inequality for the Heisenberg group
• Hardy's theorem for the Jacobi transform
• Heat kernel and Hardy's theorem for Jacobi transform
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• Beurling's Theorem and Characterization of Heat Kernel for Riemannian Symmetric Spaces of Noncompact Type

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