Separable representations for automorphism groups of infinite symmetric spaces

DOI10.1016/0022-1236(90)90078-YzbMath0762.22018MaRDI QIDQ1813253

Doug Pickrell

Publication date: 25 June 1992

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

zbMATH Keywords

spherical functionssymmetric spacesautomorphism groupsspherical representationsSchatten \(p\)-classesHilbert-Schmidt limitseparable unitary representations

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (15)

On quasifree representations of infinite dimensional symplectic group ⋮ \(O(\infty)\)- and \(\mathrm{Sp}(\infty)\)-invariant ergodic measures on the spaces of infinite antisymmetric and quaternionic antihermitian matrices ⋮ Multivariate Jacobi polynomials and the Selberg integral ⋮ Sphericity and multiplication of double cosets for infinite-dimensional classical groups ⋮ On differentiable vectors for representations of infinite dimensional Lie groups ⋮ Ergodic measures on spaces of infinite matrices over non-Archimedean locally compact fields ⋮ Infinite random matrices \& ergodic decomposition of finite and infinite Hua-Pickrell measures ⋮ The explicit formulae for scaling limits in the ergodic decomposition of infinite Pickrell measures ⋮ Macdonald polynomials and extended Gelfand-Tsetlin graph ⋮ On the Mickelsson-Faddeev extension and unitary representations ⋮ Integration on loop groups. I: Quasi invariant measures ⋮ Iwasawa decompositions of some infinite-dimensional Lie groups ⋮ A criterion for a topological group to admit a continuous embedding in a locally compact group ⋮ On the group of spheromorphisms of a homogeneous non-locally finite tree ⋮ Hua measures on the space of $ p$-adic matrices and inverse limits of Grassmannians

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