The generalized Wiener theorem for groups with finite dimensional irreducible representations
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Publication:1138099
DOI10.1016/0022-1236(79)90094-6zbMath0431.22008OpenAlexW2038878887MaRDI QIDQ1138099
Wilfried Hauenschild, Eberhard Kaniuth
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)90094-6
group algebrashull-kernel topologymaximal idealsnilpotent Lie groupsWiener setsgroups with finite dimensional irreducible representationsMoore groups
Spectral synthesis on groups, semigroups, etc. (43A45) Group algebras of locally compact groups (22D15) Character groups and dual objects (43A40)
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Cites Work
- An elementary proof of a fundamental theorem in the theory of Banach algebras
- Harmonische Analyse auf Gruppen mit endlich-dimensionalen irreduciblen Darstellungen
- On symmetry of some Banach algebras
- Zur Idealtheorie in Gruppenalgebren von \([\text{FIA}^-_B\)-Gruppen]
- \(L^ 1\)-algebras and Segal algebras
- On complete regularity o f group algebras
- Topology in duals of SIN-groups
- Note on Certain Group Algebras
- Dual Spaces of Groups with Precompact Conjugacy Classes
- Harmonic Analysis and Centers of Group Algebras
- On Central Topological Groups
- The L 1 - and C ∗ -Algebras of [ FIA - B Groups, and Their Representations]
- Harmonic Analysis on Central Topological Groups
- Groups with Finite Dimensional Irreducible Representations
- Projections and Approximate Identities for Ideals in Group Algebras
- Zur harmonischen Analyse klassenkompakter Gruppen
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