Noncompact Unimodular Groups with Purely Atomic Plancherel Measures

DOI10.2307/2043043zbMath0432.43007OpenAlexW4248010522MaRDI QIDQ3869790

Giancarlo Mauceri, Massimo A. Picardello

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2043043

zbMATH Keywords

Plancherel measuresquare-integrable representationsp-adic numbersinduced representations

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Other representations of locally compact groups (22D12) Character groups and dual objects (43A40)

Related Items

Operator amenability of Fourier-Stieltjes algebras, II, Groups with Completely Reducible Regular Representation, A sufficient condition for the complete reducibility of the regular representation, Construction of positive definite functions, 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

Cites Work

• Symmetry in Fourier-Stieltjes algebras
• Square integrable representations and the Fourier algebra of a unimodular group
• Moyennes invariantes et représentations unitaires
• A separable group having a discrete dual space is compact
• Sur les Representations des Groups Classiques -Adiques I
• L'algèbre de Fourier d'un groupe localement compact
• Convolution of L² - functions
• The plancherel formula for group extensions