Harmonic analysis on the infinite-dimensional unitary group

DOI10.1007/s10958-012-0722-6zbMath1255.43006OpenAlexW2058790216MaRDI QIDQ1762545

A. A. Osinenko

Publication date: 27 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0722-6

zbMATH Keywords

infinite-dimensional unitary groupGelfand-Tsetlin graphcharacter of a topological groupunitary group representationdisjointness of representations

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Analysis on general topological groups (22A10)

Related Items

Harmonic analysis on the infinite-dimensional unitary-symplectic group

Cites Work

• Harmonic analysis on the infinite symmetric group
• Harmonic analysis on the infinite-dimensional unitary group and determinantal point processes
• Représentations factorielles de type \(II_1\) de \(U(\infty)\)
• The problem of harmonic analysis on the infinite-dimensional unitary group.
• Disjointness of representations arising in harmonic analysis on the infinite-dimensional unitary group
• Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.