Hardy's uncertainty principle on hyperbolic spaces

DOI10.1017/S0004972700020785zbMath1004.22003MaRDI QIDQ3153732

Nils Byrial Andersen

Publication date: 8 February 2003

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier transformJacobi functionspherical harmonicsLaplace-Beltrami operatorPoisson transformreal hyperbolic spaceJacobi transformRiemannian symmetric spaceHardy's uncertainty principle

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Other transforms and operators of Fourier type (43A32) Classical hypergeometric functions, ({}_2F_1) (33C05) Spherical harmonics (33C55)

Related Items (2)

On support properties of functions and their Jacobi transform ⋮ Sharp uncertainty principles on Riemannian manifolds: the influence of curvature

Cites Work

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• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Analysis on real hyperbolic spaces
• The uncertainty principle on Riemannian symmetric spaces of the noncompact type
• 𝐿^{𝑝} version of Hardy’s theorem on semisimple Lie groups
• Hardy's Uncertainty Principle on Certain Lie Groups
• A Theorem Concerning Fourier Transforms
• Paley-Wiener theorems for hyperbolic spaces

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