Local spectral properties of convolution operators on non-abelian groups

DOI10.1017/S0013091500022859zbMath0853.43009OpenAlexW1972388085MaRDI QIDQ4893692

Volker Runde

Publication date: 18 September 1996

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500022859

zbMATH Keywords

spectral theoryconvolution operatorprobability measureMoore grouplocally compact abelian

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Local spectral properties of linear operators (47A11)

Related Items (2)

Automatic continuity over Moore groups ⋮ Group representations with empty residual spectrum

Cites Work

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• The generalized Wiener theorem for groups with finite dimensional irreducible representations
• Homomorphisms from \(L^ 1(G)\) for \(G\in[FIA^ -\cup[\text{Moore}]\)]
• Some mapping properties of the group algebras of a compact group
• The Properties ∗ -Regularity and Uniqueness of C ∗ -Norm in a General ∗ -Algebra
• Harmonic Analysis and Centers of Group Algebras
• On Central Topological Groups
• A note on the structure of Moore groups
• The L 1 - and C ∗ -Algebras of [ FIA - B Groups, and Their Representations]

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