A sufficient condition for the complete reducibility of the regular representation

DOI10.1016/0022-1236(79)90033-8zbMath0425.22007OpenAlexW2095009027MaRDI QIDQ1135374

Keith F. Taylor, Lawrence W. Baggett

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)90033-8

zbMATH Keywords

abelian groupsHaar measureprobability measurepositive definite functionseparable locally compact group

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items

The Rajchman algebra \(B_{0}(G)\) of a locally compact group \(G\), Lebesgue type decomposition of subspaces of Fourier-Stieltjes algebras, Derivations on the algebra of Rajchman measures, Groups with Completely Reducible Regular Representation, Group representations which vanish at infinity, Geometry of the Fourier algebras and locally compact groups with atomic unitary representations, The Bochner-Schoenberg-Eberlein property for commutative Banach algebras, especially Fourier and Fourier-Stieltjes algebras, Groups whose Fourier algebra and Rajchman algebra coincide, Locally compact unimodular groups with atomic duals, On the structure of invertible elements in certain Fourier–Stieltjes algebras, THE MULTIPLIER ALGEBRA AND BSE PROPERTY OF THE DIRECT SUM OF BANACH ALGEBRAS

Cites Work

• Unnamed Item
• Unitary representations of group extensions. I
• Positive definite functions which vanish at infinity
• Riemann-Lebesgue subsets of \(\mathbb{R}^n\) and representations which vanish at infinity
• A duality between locally compact groups and certain Banach algebras
• A separable group having a discrete dual space is compact
• Induced representation of locally compact groups. I
• Noncompact Unimodular Groups with Purely Atomic Plancherel Measures
• Sur l'analyse harmonique du groupe affine de la droite
• Groups with Completely Reducible Regular Representation
• A Weak Containment Theorem for Groups with a Quotient R-Group
• L'algèbre de Fourier d'un groupe localement compact
• Weak Containment and Induced Representations of Groups
• ON THE FOURIER COEFFICIENTS OF FUNCTIONS OF BOUNDED VARIATION