A geometric criterion for Gelfand pairs associated with nilpotent Lie groups

DOI10.1006/jfan.2000.3735zbMath0982.22007OpenAlexW2088057320MaRDI QIDQ5940316

Nao Nishihara

Publication date: 8 April 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3735

zbMATH Keywords

Heisenberg groupnilpotent Lie groupcoadjoint orbitsGelfand pairtwo step nilpotent Lie groups

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) Summability methods on groups, semigroups, etc. (43A55)

Related Items

The space of bounded spherical functions on the free 2-step nilpotent Lie group ⋮ Gelfand pairs attached to representations of compact Lie groups

Cites Work

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