The Penney-Fujiwara Plancherel formula for abelian symmetric spaces and completely solvable homogeneous spaces

DOI10.2140/PJM.1991.151.265zbMath0759.22012OpenAlexW2075325840MaRDI QIDQ1183094

Ronald L. Lipsman

Publication date: 28 June 1992

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1991.151.265

zbMATH Keywords

Plancherel formulaorbit methodDirac distributionquasi-regular representationsabelian symmetric spacescompletely solvable homogeneous spaces

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30)

Related Items (3)

Analysis of some monomial representations of exponential solvable Lie groups ⋮ A unified approach to concrete Plancherel theory of homogeneous spaces ⋮ The Penney-Fujiwara Plancherel formula for Gelfand pairs

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