Invariant projections and convolution operators

DOI10.1090/S0002-9939-00-05874-3zbMath0957.43001MaRDI QIDQ2701638

Jacques Delaporte, Antoine Derighetti

Publication date: 19 February 2001

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

zbMATH Keywords

convolution operatorspectral synthesisamenable groupFourier algebraDitkin setpseudomeasureFigà-Talamanca Herz algebra

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) 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) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (7)

On the connection between sets of operator synthesis and sets of spectral synthesis for locally compact groups ⋮ On hereditary properties of quantum group amenability ⋮ AMENABILITY AND ORLICZ FIGÀ-TALAMANCA HERZ ALGEBRAS ⋮ Conditional expectations on \(CV_{p}(G)\). Applications ⋮ Ideals with bounded approximate identities in Fourier algebras. ⋮ Closed subgroups as Ditkin sets ⋮ An extension property for the Figà-Talamanca Herz algebra

Cites Work

• On neutral subgroups of topological groups
• Quelques observations concernant les ensembles de Ditkin d'un groupe localement compact. (Ditkin sets on locally compact groups)
• Estimations \(L^ p\) des coefficients de représentation et opérateurs de convolution
• Über Fortsetzung positiv definiter Funktionen
• \(p\)-pseudomeasures and closed subgroups
• Harmonic synthesis for subgroups
• The Spectral Theory of Bounded Functions
• Translation invariant complemented subspaces of $L^{p}$
• Complemented Ideals in the Fourier Algebra and the Radon Nikodym Property
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