Fourier Inversion on Borel Subgroups of Chevalley Groups: The Symplectic Group Case

DOI10.2307/1998026zbMath0441.22013OpenAlexW4249779766MaRDI QIDQ3882660

Ronald L. Lipsman

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998026

zbMATH Keywords

parabolic subgroupspseudodifferential operatorChevalley groupssemisimple algebraic groupsBorel subgroupsPlancherel theoryDixmier- Pukanszky operator

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items

A Plancherel Formula for Parabolic Subgroups, Canonical Semi-Invariants and the Plancherel Formula for Parabolic Groups

Cites Work

• Unnamed Item
• The Plancherel formula for parabolic subgroups
• The Plancherel formula for parabolic subgroups of the classical groups
• Classification and Fourier inversion for parabolic subgroups with square integrable nilradical
• The plancherel formula for group extensions
• The plancherel formula for group extensions II