On a theorem of Chernoff on rank one Riemannian symmetric spaces

DOI10.1016/j.jfa.2021.109351zbMath1491.43008arXiv2103.13888OpenAlexW3135999667MaRDI QIDQ2067056

Pritam Ganguly, Ramesh Manna, Sundaram Thangavelu

Publication date: 17 January 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13888

zbMATH Keywords

Chernoff's theoremHelgason Fourier transformJacobi analysisRiemannian symmetric spaces

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (2)

An analogue of Ingham's theorem on the Heisenberg group ⋮ Analogues of theorems of Chernoff and Ingham on the Heisenberg group

Cites Work

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• Two-point homogeneous spaces
• Composition Series and Intertwining Operators for the Spherical Principal Series. II
• Quasi-analytic vectors and quasi-analytic functions
• Composition Series and Intertwining Operators for the Spherical Principal Series. I
• The Addition Formula for Jacobi Polynomials and Spherical Harmonics
• A Note on Fourier Transforms
• On the existence and irreducibility of certain series of representations
• Some Remarks on Quasi-Analytic Vectors
• Analogues of theorems of Chernoff and Ingham on the Heisenberg group

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