An order theoretical characterization of the Fourier transform

DOI10.1007/BF01455562zbMath0552.43002MaRDI QIDQ801504

Wolfgang Arendt

Publication date: 1985

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164016

zbMATH Keywords

Fourier transformpositive definite functionslocally compact abelian group\(L^ 1(G)\)Fourier Stieltjes transform

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items

Approximation of \(p\)-multiplier operators via their spectral projections

Cites Work

• Order isomorphisms of Fourier algebras
• \(W^*\)-algebras and nonabelian harmonic analysis
• Symmetric Maximal Ideals in M(G)
• L'algèbre de Fourier d'un groupe localement compact
• Order in Operator Algebras
• The Positive Cone in Banach Algebras
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