Ramanujan's master theorem and duality of symmetric spaces

DOI10.1006/jfan.1996.3051zbMath0880.43012OpenAlexW1973359419MaRDI QIDQ1365228

Wolfgang Bertram

Publication date: 1 February 1998

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

Full work available at URL: https://doi.org/10.1006/jfan.1996.3051

zbMATH Keywords

Fourier transformsanalytic functionsymmetric spaceRamanujan's master theorem

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Related Items

Ramanujan's master theorem for radial sections of line bundles over the Poincaré upper half plane ⋮ Ramanujan's master theorem for Riemannian symmetric spaces ⋮ Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems ⋮ Ramanujan's master theorem for Sturm Liouville operator

Cites Work

• The Helgason Fourier transform for compact Riemannian symmetric spaces of rank one
• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Ramanujan's master theorem for symmetric cones
• Analytic properties of expansions, and some variants of Parseval- Plancherel formulas
• Connection between the harmonic analysis on the sphere and the harmonic analysis on the one-sheeted hyperboloid: an analytic continuation viewpoint - III
• Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symétrique compact
• RAMANUJAN AND THE THEORY OF FOURIER TRANSFORMS
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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