Characterization, structure and analysis on Abelian \({\mathcal L}_{\infty}\) groups

DOI10.1007/BF01383716zbMath0563.43005MaRDI QIDQ1057445

Rangachari Venkataraman

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/178237

zbMATH Keywords

Fourier transformsconvolution\({\mathcal L}_{\infty }\) group\(L_ 1\)-algebra

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (1)

Extending topological abelian groups by the unit circle

Cites Work

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• Coproduct in the category of groups satisfying Pontryagin duality
• Extensions of the Pontrjagin duality. I: Infinite products
• Extensions of the Pontrjagin duality. II: Direct and inverse sequences
• Countable products and sums of lines and circles: their closed subgroups, quotients and duality properties
• On Countable Inductive Limits of Locally Compact Abelian Groups
• A remark on characters of locally compact Abelian groups

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