\(p\)-pseudomeasures and closed subgroups

DOI10.1007/BF01292767zbMath0834.43003MaRDI QIDQ1345714

Antoine Derighetti, Jacques Delaporte

Publication date: 13 March 1995

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

Full work available at URL: https://eudml.org/doc/178672

zbMATH Keywords

conditional expectationlocally compact groupspectral synthesisconvolution operatorspseudomeasuresamenable subgroupbounded measureFigà-Talamanca Herz algebra

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Other representations of locally compact groups (22D12)

Related Items

Invariant projections and convolution operators ⋮ Best bounds for the approximate units for certain ideals of $L^{1}(G)$ and of $A_{p}(G)$ ⋮ CONVOLUTION OPERATORS AND HOMOMORPHISMS OF LOCALLY COMPACT GROUPS ⋮ On the density of the Fourier-Stieltjes algebra ⋮ The predual of the space of convolutors on a locally compact group ⋮ Atomization process for convolution operators on locally compact groups ⋮ Extensions and isomorphisms for the generalized Fourier algebras of a locally compact group

Cites Work

• Applications de la p-induction en analyse harmonique
• 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
• Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
• Harmonic synthesis for subgroups
• Contributions to harmonic analysis. VI
• On Projections of L ^∞ (G ) onto Translation-Invariant Subspaces
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