Analogues of Beurling's theorem for some integral transforms

DOI10.1080/10652469.2021.1979972zbMath1492.42004OpenAlexW3204404736MaRDI QIDQ5085501

Santanu Debnath, Suparna Sen

Publication date: 27 June 2022

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

Full work available at URL: https://doi.org/10.1080/10652469.2021.1979972

zbMATH Keywords

Hankel transformharmonic measureBeurling's theoremDunkl transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Capacity and harmonic measure in the complex plane (30C85) General integral transforms (44A05)

Related Items (1)

Completeness of exponentials and Beurling's theorem on \(\mathbb{R}^n\) and \(\mathbb{T}^n\)

Cites Work

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• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Theorems of Chernoff and Ingham for certain eigenfunction expansions
• An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type
• Around theorems of Ingham-type regarding decay of Fourier transform on \(\mathbb{R}^n, \mathbb{T}^n\) and two step nilpotent Lie groups
• A RESULT OF PALEY AND WIENER ON DAMEK–RICCI SPACES
• Beurling's theorems and inversion formulas for certain index transforms
• A Theorem of Levinson for Riemannian Symmetric Spaces of Noncompact Type
• Ingham-type theorems for the Dunkl Fourier transforms

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