Recurrence formulas for zonal polynomials

DOI10.1007/BF01159186zbMath0535.33005MaRDI QIDQ791005

Lars Vretare

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173549

zbMATH Keywords

hypergeometric functionsrecurrence formulasanalytic continuationzonal polynomialsmultivariate distributionHarish- Chandra's c-functionspherical functions on symmetric spaces

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Harmonic analysis and spherical functions (43A90)

Related Items

Sobolev spaces on bounded symmetric domains ⋮ Generalized principal series representations and tube domains ⋮ Generalized principal series representations of $SL(1+n,\mathbb {C})$ ⋮ Incommensurability criteria for Kleinian groups ⋮ Analytic models for commuting operator tuples on bounded symmetric domains

Cites Work

• Zonal polynomials of the real positive definite symmetric matrices
• Elementary spherical functions on symmetric spaces.
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

This page was built for publication: Recurrence formulas for zonal polynomials