The Poisson- Plancherel formula for a real semialgebraic group. I: Fourier transform of orbital integrals

DOI10.1006/JFAN.1993.1117zbMath0836.22021OpenAlexW2071746615MaRDI QIDQ1316406

Mohamed Salah Khalgui, Pierre Torasso

Publication date: 6 May 1996

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

Full work available at URL: https://doi.org/10.1006/jfan.1993.1117

zbMATH Keywords

Fourier transformsLie algebraorbital integralslinear formsemialgebraic groupsPoisson-Plancherel formula\(\chi\)-tempered distributioncanonical acceptable subgrouptempered generalized function

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (5)

Quasi-reductive Lie algebras ⋮ The Plancherel formula for real almost algebraic Lie groups ⋮ Quantum Ornstein-Uhlenbeck semigroups ⋮ Operator theory: quantum white noise approach ⋮ La formule du caractère pour les groupes de Lie presque algébriques réels. (Character formula for almost algebraic groups over the reals)

This page was built for publication: The Poisson- Plancherel formula for a real semialgebraic group. I: Fourier transform of orbital integrals