Partial differential operators and discrete subgroups of a Lie group

DOI10.1007/BF01364136zbMath0433.22010WikidataQ115393661 ScholiaQ115393661MaRDI QIDQ1139141

Palle E. T. Jorgensen

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163351

zbMATH Keywords

fundamental domaindiscrete groupsinvariant vector fieldsanalytic theory of representationsC-infinite-vectors

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Discrete subgroups of Lie groups (22E40) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Free boundary problems for PDEs (35R35) Automorphic functions (32N99)

Related Items (9)

Harmonic analysis on tori ⋮ Duality questions for operators, spectrum and measures ⋮ Fourier analysis on domains in compact groups ⋮ Spectral theory of commuting self-adjoint partial differential operators ⋮ Harmonic analysis of fractal measures ⋮ Positive definite functions on the Heisenberg group ⋮ Spectral theory of finite volume domains in \(R^ n\). ⋮ Extensions of positive definite integral kernels on the Heisenberg group ⋮ Spectral theory for Borel sets in \(\mathbb{R}{}^ n\) of finite measure

Cites Work

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• Representations of differential operators on a Lie group
• Induced representations and a new proof of the imprimitivity theorem
• Commuting self-adjoint partial differential operators and a group theoretic problem
• Hypoelliptic second order differential equations
• Covariant representations of \(C^ *\)-algebras and their locally compact automorphism groups
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Induced representation of locally compact groups. I
• Scattering Theory for Automorphic Functions. (AM-87)
• Analytic and Entire Vectors for Representations of Lie Groups
• On Induced Representations

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