An uncertainty principle for spectral projections on rank one symmetric spaces of noncompact type

DOI10.1007/S10231-021-01116-3zbMath1496.43005arXiv2011.09942OpenAlexW3163087699MaRDI QIDQ2118016

Pritam Ganguly, Sundaram Thangavelu

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09942

zbMATH Keywords

spectral projectionsChernoff's theoremIngham's theoremHelgason Fourier transformDunkl transformRiemannian 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) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (3)

Analogues of Beurling's theorem for some integral transforms ⋮ Completeness of exponentials and Beurling's theorem on \(\mathbb{R}^n\) and \(\mathbb{T}^n\) ⋮ Analogues of theorems of Chernoff and Ingham on the Heisenberg group

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