Which Amalgams are Convolution Algebras?

DOI10.2307/2045533zbMath0579.43004OpenAlexW4240609961MaRDI QIDQ3701924

Saleem Watson, James Stewart

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045533

zbMATH Keywords

group algebralocally compact abelian group\(L^ p\) functions

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) (L^1)-algebras on groups, semigroups, etc. (43A20) Structure of group algebras of LCA groups (22B10)

Related Items (6)

Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞} ⋮ Some applications of the dual spaces of Hardy-amalgam spaces ⋮ Essential properties of \(L_{p,q}\) spaces (the amalgams) and the implicit function theorem for equilibrium analysis in continuous time ⋮ The amalgam space L(p,q)π$\begin{array}{} L^{\pi}_{(p,q)} \end{array}$(G) on IN-groups ⋮ On the homological and algebraical properties of some Feichtinger algebras ⋮ Symmetry and inverse closedness for Banach \(^*\)-algebras associated to discrete groups

Cites Work

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• Unions et intersections d'espaces \(L^p\) invariantes par translation ou convolution
• On space of functions of Wiener
• On the algebras $L_p$ of locally compact groups
• A proof of a theorem of Żelazko on $L^p$-algebras
• A theorem on the discrete groups and algebras $L_p$
• Product-Convolution Operators and Mixed-Norm Spaces
• Fourier Transforms of Unbounded Measures
• Harmonic Analysis on Amalgams of L^P and l^q

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