Generalization of some integrals over unitary matrices by character expansion of groups

DOI10.1063/1.2956485zbMath1152.81446OpenAlexW2040375332MaRDI QIDQ5505003

Chintha Tellambura, Alireza Ghaderipoor

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2956485

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Other functions defined by series and integrals (33E20) Random matrices (algebraic aspects) (15B52) Analysis on other specific Lie groups (43A80) Coding theorems (Shannon theory) (94A24)

Related Items (2)

Asymptotics of rectangular spherical integrals ⋮ Rectangular \(R\)-transform as the limit of rectangular spherical integrals

Cites Work

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• Representations of supergroups
• Character expansion for U(N) groups and U(N/M) supergroups
• Eigenvalues and Condition Numbers of Random Matrices
• Supersymmetry for systems with unitary disorder: circular ensembles
• Generalizations of some integrals over the unitary group
• Capacity of a mobile multiple-antenna communication link in Rayleigh flat fading
• The planar approximation. II
• An Itzykson–Zuber-like integral and diffusion for complex ordinary and supermatrices
• Distributions of Matrix Variates and Latent Roots Derived from Normal Samples

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