Power boundedness in the Fourier and Fourier-Stieltjes algebras on homogeneous spaces

DOI10.1007/s10998-016-0123-6zbMath1399.43010OpenAlexW2507373158MaRDI QIDQ1701402

N. Shravan Kumar

Publication date: 22 February 2018

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-016-0123-6

zbMATH Keywords

homogeneous spacespectral synthesisFourier algebraFourier-Stieltjes algebracoset ringpower bounded element

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Harmonic analysis on homogeneous spaces (43A85) Homological methods in functional analysis (exact sequences, right inverses, lifting, etc.) (46M18) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Spectral synthesis on groups, semigroups, etc. (43A45)

Cites Work

• Unnamed Item
• Homological properties of Fourier algebras on homogeneous spaces
• Fourier analysis on coset spaces
• A characterization of the closed unital ideals of the Fourier-Stieltjes algebra \(B\)(\(G\)) of a locally compact amenable group \(G\).
• Ideals with bounded approximate identities in the Fourier algebras on homogeneous spaces
• Power boundedness in Fourier and Fourier-Stieltjes algebras and other commutative Banach algebras
• On the coset ring and strong Ditkin sets
• Multipliers of commutative Banach algebras, power boundedness and Fourier-Stieltjes algebras
• Ditkin sets in homogeneous spaces
• L'algèbre de Fourier d'un groupe localement compact
• Measures with Bounded Convolution Powers

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