Ramanujan's master theorem for Hermitian symmetric spaces

DOI10.1023/A:1009763004562zbMath0906.22009OpenAlexW157016921MaRDI QIDQ1127626

Hongming Ding

Publication date: 31 January 1999

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009763004562

zbMATH Keywords

spherical functionssymmetric spacesinversion formulasemisimple Lie groupsJordan algebrassymmetric coneshalf spacesspherical transformRamanujan's master theoremHarish-Chandra's \(c\)-functionSiegel domain of type IIspherical series

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Noncommutative Jordan algebras (17A15) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (4)

Generalized binomial expansion on Lorentz cones. ⋮ Ramanujan's master theorem for Riemannian symmetric spaces ⋮ Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems ⋮ Generalized binomial expansion on complex matrix space

This page was built for publication: Ramanujan's master theorem for Hermitian symmetric spaces