The Plancherel formula for parabolic subgroups

DOI10.1007/BF02759782zbMath0371.43002OpenAlexW1982968885MaRDI QIDQ1243433

Ronald L. Lipsman, Frederick W. Keene, Joseph A. Wolf

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf02759782

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Measures on groups and semigroups, etc. (43A05) Pseudodifferential and Fourier integral operators on manifolds (58J40) Analysis on other specific Lie groups (43A80) Character groups and dual objects (43A40)

Related Items (7)

Fourier Inversion on Borel Subgroups of Chevalley Groups: The Symplectic Group Case ⋮ Square Integrable Representations and a Plancherel Theorem for Parabolic Subgroups ⋮ A Plancherel Formula for Parabolic Subgroups ⋮ Weighted Estimates for Fractional Powers of Partial Differential Operators ⋮ Harmonic analysis on reductive Lie groups ⋮ Canonical Semi-Invariants and the Plancherel Formula for Parabolic Groups ⋮ The Plancherel formula for parabolic subgroups of the classical groups

Cites Work

• Representations of certain semidirect product groups
• On the regular representation of a nonunimodular locally compact group
• Plancherel formula for non-unimodular locally compact groups
• Sur l'analyse harmonique sur les groupes de Lie résolubles
• Square Integrable Representations and a Plancherel Theorem for Parabolic Subgroups
• Unitary representations of solvable Lie groups
• The plancherel formula for group extensions
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