Harmonic analysis on the infinite-dimensional unitary-symplectic group

DOI10.1007/S10958-013-1264-2zbMath1275.43009OpenAlexW2023081713MaRDI QIDQ357299

A. A. Osinenko

Publication date: 30 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10958-013-1264-2

zbMATH Keywords

group representationGelfand pairblock decompositioncyclic vector of a representationextremal character

Mathematics Subject Classification ID

Measures on groups and semigroups, etc. (43A05) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Character groups and dual objects (43A40)

Cites Work

• Unnamed Item
• Multivariate Jacobi polynomials and the Selberg integral
• Random partitions and the gamma kernel
• Harmonic analysis on the infinite symmetric group
• The problem of harmonic analysis on the infinite-dimensional unitary group.
• Harmonic analysis on the infinite-dimensional unitary group
• Hua-type integrals over unitary groups and over projective limits of unitary groups
• Disjointness of representations arising in harmonic analysis on the infinite-dimensional unitary group

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