A power series identity and Bessel-type integrals over unitary groups

DOI10.1063/1.5057711zbMath1409.81165arXiv1806.02441OpenAlexW3103339817MaRDI QIDQ4628755

Jimmy He

Publication date: 15 March 2019

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

Full work available at URL: https://arxiv.org/abs/1806.02441

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Strong interaction, including quantum chromodynamics (81V05) Decomposition methods (49M27) Applications of group representations to physics and other areas of science (20C35) Stratified sets (58A35) Central extensions and Schur multipliers (19C09)

Cites Work

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• Bessel functions of matrix argument
• On the distribution of the latent roots of a complex Wishart matrix (non- central case)
• Fluctuations of particle systems determined by Schur generating functions
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Formulas for the Evaluation of Toeplitz Determinants with Rational Generating Functions
• Generalizations of some integrals over the unitary group
• Asymptotics of Plancherel measures for symmetric groups
• Character expansion method for supergroups and extended superversions of the Leutwyler–Smilga and Berezin–Karpelevich integrals
• Discrete orthogonal polynomial ensembles and the Plancherel measure

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