scientific article

zbMath0991.43005arXivmath/0012220MaRDI QIDQ2762316

Yuriĭ A. Neretin

Publication date: 24 August 2002

Full work available at URL: https://arxiv.org/abs/math/0012220

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

spherical functionsLie groupsPlancherel formulairreducible decompositionspecial functionsCartan domainsBerezin kernel

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Other functions defined by series and integrals (33E20) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Differential geometry of symmetric spaces (53C35) Classical hypergeometric functions, ({}_2F_1) (33C05) Harmonic analysis and spherical functions (43A90) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (3)

Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space ⋮ Berezin kernels and analysis on Makarevich spaces ⋮ Covariant quantization: spectral analysis versus deformation theory

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