Singular invariant eigendistributions as characters in the Fourier transform of invariant distributions

DOI10.1016/0022-1236(79)90111-3zbMath0417.22011OpenAlexW1992891963MaRDI QIDQ754983

Rebecca A. Herb, Paul J. jun. Sally

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-1236(79)90111-3

zbMATH Keywords

characterFourier inversion formuladiscrete series representationeigendistributionfinite centerlinear semisimple real Lie group

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (5)

Eta invariants of Dirac operators on locally symmetric manifolds ⋮ Intégrales orbitales sur les groupes de Lie réductifs ⋮ Discrete Series Characters and Fourier Inversion on Semisimple Real Lie Groups ⋮ Wave packets for the relative discrete series. II: The nonholomorphic case ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• The Fourier transform on semisimple Lie groups of real rank one
• A uniqueness theorem for tempered invariant eigendistributions
• On the characters of the discrete series. The Hermitian symmetric case
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• Discrete series for semisimple Lie groups. I: Construction of invariant eigendistributions
• Two theorems on semi-simple Lie groups
• Fourier Inversion of Invariant Integrals of Semisimple Real Lie Groups
• Character formulas for discrete series on semisimple Lie groups
• Classification of irreducible tempered representations of semisimple Lie groups
• Commutativity of intertwining operators. II
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces

This page was built for publication: Singular invariant eigendistributions as characters in the Fourier transform of invariant distributions