Translation invariant forms on \(L^ p(G)\) \((1

DOI10.5802/aif.1039zbMath0576.43003OpenAlexW2328501368MaRDI QIDQ1065313

Jean Bourgain

Publication date: 1986

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1986__36_1_97_0

zbMATH Keywords

boundednessHaar measureconnected metrizable compact abelian grouprandom convolution operatorsscalar multipletranslation invariant linear form

Mathematics Subject Classification ID

(L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (9)

NON-UNITARISABLE REPRESENTATIONS AND MAXIMAL SYMMETRY ⋮ Vanishing Fourier Transforms and Generalized Differences in ⋮ Topologically invariant linear forms on spaces of abstract distributions on a locally compact Abelian group ⋮ Vanishing Fourier coefficients and the expression of functions in \(L^2(\mathbb{T})\) as sums of generalised differences ⋮ Translation invariant linear functionals on segal algebras ⋮ Banach spaces of functions and distributions characterized by singular integrals involving the Fourier transform ⋮ A remark on continuity of translation invariant functionals on \(L_ p(G)\) for compact Lie groups G ⋮ Continuity of operators commuting with translations for compact groups ⋮ Uniqueness of translation invariant norms

Cites Work

• Some applications of the complex interpolation method to Banach lattices
• Translationinvariant linear forms on L\(^2\)(G) for compact Abelian groups G
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