Bessel systems for Jordan algebras of rank 2 and 3

DOI10.1006/jmaa.1999.6308zbMath0957.33002OpenAlexW2095381992MaRDI QIDQ1301866

N. H. Mahmoud

Publication date: 20 March 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6308

zbMATH Keywords

hypergeometric seriesBessel function of matrix argumentJordan algebradomain of convergence

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other hypergeometric functions and integrals in several variables (33C70) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Jordan algebras (algebras, triples and pairs) (17C99)

Cites Work

• Bessel functions of matrix argument
• Bessel functions associated with representations of formally real Jordan algebras
• Fonctions de Bessel sur une algèbre de Jordan. (Bessel functions on a Jordan algebra)
• Bessel functions and representation theory. I
• Bessel functions and representation theory. II: Holomorphic discrete series and metaplectic representations
• Special Functions of Matrix Argument. I: Algebraic Induction, Zonal Polynomials, and Hypergeometric Functions
• Generalized Bessel functions and the representation theory of U(2) σ C2×2
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples
• Some Non-Central Distribution Problems in Multivariate Analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bessel systems for Jordan algebras of rank 2 and 3