SPHERICAL FUNCTIONS ON HYPERBOLOIDS

DOI10.1070/SM1976v028n02ABEH001643zbMath0368.33008MaRDI QIDQ4145964

Vladimir F. Molchanov

Publication date: 1978

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90)

Related Items (8)

Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank one ⋮ Holomorphic discrete series for hyperboloids of Hermitian type ⋮ Invariant subspaces of functions and the Poisson transformation for hyperboloids ⋮ Separation of series for hyperboloids ⋮ Function theory on a \(q\)-analog of complex hyperbolic space ⋮ Harmonic analysis on reductive Lie groups ⋮ New inversion formulas for the horospherical transform ⋮ Plancherel formula for the pseudoriemannian space SL(3,R)/GL(2,R)

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