Remarks on Gelfand pairs associated to non-type-I solvable Lie groups

DOI10.1006/JFAN.1998.3350zbMath0917.22006OpenAlexW2024894435MaRDI QIDQ1279644

Katsuhiko Kikuchi

Publication date: 11 April 1999

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3350

zbMATH Keywords

irreducible unitary representationsGelfand paircompact Lie group

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Unitary representations of group extensions. I
• A class of symmetric and a class of Wiener group algebras
• \(K\)-spherical representations for Gelfand pairs associated to solvable Lie groups
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• On Gelfand Pairs Associated with Solvable Lie Groups

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