A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1

DOI10.1090/S0002-9939-00-05475-7zbMath0958.43004OpenAlexW1483483367MaRDI QIDQ4510062

Nils Byrial Andersen, Gestur Olafsson

Publication date: 19 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05475-7

zbMATH Keywords

Laplace transformspherical functionssymmetric spacesPaley-Wiener theoremcausal symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Asymptotic analysis of \(\Theta\)-hypergeometric functions ⋮ An application of shift operators to ordered symmetric spaces ⋮ Paley–Wiener theorem and the Plancherel formula for the generalized Laplace transform

Cites Work

• Spherical functions on ordered symmetric spaces
• Expansions for Eisenstein integrals on semisimple symmetric spaces
• Une Transformation de Laplace–Jacobi
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