Invariant trilinear forms on spherical principal series of real rank one semisimple Lie groups

DOI10.1142/S0129167X14500177zbMath1291.43007WikidataQ115246523 ScholiaQ115246523MaRDI QIDQ5415790

Genkai Zhang, Salem Ben Said, Khalid Koufany

Publication date: 16 May 2014

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

meromorphic continuationinvariant trilinear forms\(H\)-type groupsspherical principal seriesgeneralized Bernstein-Reznikov integralKnapp-Stein intertwining operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Proceedings, conferences, collections, etc. pertaining to abstract harmonic analysis (43-06)

Related Items (6)

Knapp-Stein type intertwining operators for symmetric pairs ⋮ Real double flag varieties for the symplectic group ⋮ Singular conformally invariant trilinear forms. II: The higher multiplicity case ⋮ Invariant trilinear forms for spherical degenerate principal series of complex symplectic groups ⋮ Tensor products of complementary series of rank one Lie groups ⋮ Invariant differential operators on H-type groups and discrete components in restrictions of complementary series of rank one semisimple groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conformally invariant trilinear forms on the sphere
• Singular invariant trilinear forms and covariant (bi-)differential operators under the conformal group
• Generalized Bernstein-Reznikov integrals
• Geometric properties of Heisenberg-type groups
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Analytic continuation of representations and estimates of automorphic forms
• Finite multiplicity theorems for induction and restriction
• Integral representations for Jacobi polynomials and some applications
• Intertwining operators for semisimple groups
• The Rankin–Selberg Method for Automorphic Distributions
• Tensor Products of Unitary Representations of SL 2 (R)
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• On the existence and irreducibility of certain series of representations

This page was built for publication: Invariant trilinear forms on spherical principal series of real rank one semisimple Lie groups