Compact group actions, spherical Bessel functions, and invariant random variables

DOI10.1016/0047-259X(87)90102-3zbMath0617.60014OpenAlexW2089984586MaRDI QIDQ1822125

Kenneth I. Gross, Donald St. P. Richards

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0047-259x(87)90102-3

zbMATH Keywords

Bessel functionsinvariance conditionsLévy-Khinchine formulacompact group actions on locally compact Abelian groupsSchoenberg's characterization of radially symmetric characteristic functions

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on other specific Lie groups (43A80)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bessel functions of matrix argument
• Positive definite symmetric functions on finite dimensional spaces. I: Applications of the Radon transform
• On the theory of elliptically contoured distributions
• Distributions of maximal invariants using quotient measures
• Bessel functions and representation theory. I
• Extendibility of spherical matrix distributions
• Probability distributions on locally compact Abelian groups
• Metric spaces and completely monontone functions
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

This page was built for publication: Compact group actions, spherical Bessel functions, and invariant random variables