Distributions of positive type and representations of Lie groups

DOI10.1007/BF01364629zbMath0377.22011OpenAlexW2022555919WikidataQ115393658 ScholiaQ115393658MaRDI QIDQ1246621

Johan F. Aarnes

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/163235

zbMATH Keywords

DISTRIBUTIONS OF POSITIVE TYPEREPRESENTATIONS OF LIE GROUPS

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Induced representations for locally compact groups (22D30) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (1)

Group algebras with a unique C*-norm

Cites Work

• Théorie des distributions à valeurs vectorielles
• Abstract Plancherel theorems and a Frobenius reciprocity theorem
• The spherical Bochner theorem on semisimple Lie groups
• Representations of differential operators on a Lie group
• Positive definite distributions on unimodular Lie groups
• Positive-definite distributions and intertwining operators
• Cyclic vectors for representations of locally compact groups
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Sur les représentations induites des groupes de Lie
• Representation of Elliptic Operators in an Enveloping Algebra
• Differentiable Representations. I: Induced Representations and Frobenius Reciprocity
• Positive Definite Measures
• Complex Fourier Analysis on a Nilpotent Lie Group
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