Quelques observations concernant les ensembles de Ditkin d'un groupe localement compact. (Ditkin sets on locally compact groups)

DOI10.1007/BF01298924zbMath0583.43007MaRDI QIDQ1070161

Antoine Derighetti

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178267

zbMATH Keywords

convolution operatoramenable groupDitkin setset of spectral synthesispseudomeasureHerz Figà-Talamanca algebraReiter relativization theorems

Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Spectral synthesis on groups, semigroups, etc. (43A45)

Related Items (10)

\(p\)-pseudomeasures and closed subgroups ⋮ Conditional expectations on \(CV_{p}(G)\). Applications ⋮ Fourier algebras on homogeneous spaces ⋮ Invariant projections and convolution operators ⋮ Best bounds for the approximate units for certain ideals of $L^{1}(G)$ and of $A_{p}(G)$ ⋮ Closed subgroups as Ditkin sets ⋮ Spectral synthesis for $A(G)$ and subspaces of $VN(G)$ ⋮ On the mathematical work of Hans Reiter ⋮ A separation property of positive definite functions on locally compact groups and applications to Fourier algebras ⋮ Extensions and isomorphisms for the generalized Fourier algebras of a locally compact group

Cites Work

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• Applications de la p-induction en analyse harmonique
• Zur Idealtheorie in Gruppenalgebren von \([\text{FIA}^-_B\)-Gruppen]
• Une généralisation de la notion de transformée de Fourier-Stieltjes
• Remarques sur les ensembles de synthese des algèbres de groupe localement compact
• Harmonic synthesis for subgroups

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