Nonstandard analysis and locally compact abelian groups

zbMath0769.26009MaRDI QIDQ1194274

E. I. Gordon

Publication date: 27 September 1992

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

zbMATH Keywords

nonstandard analysislocally compact abelian groupLoeb measurehyperfinite approximation of LCA-groups

Mathematics Subject Classification ID

Locally compact groups and their algebras (22D99) Nonstandard measure theory (28E05) Nonstandard analysis (26E35)

Related Items (5)

Nonstandard extensions of uniform algebraic systems ⋮ Hyperfinite approximations of compact groups and their representations ⋮ Gordon's conjectures 1 and 2: Pontryagin-van Kampen duality in the hyperfinite setting ⋮ Approximate extension of partial \(\varepsilon\)-characters of Abelian groups to characters with application to integral point lattices. ⋮ Gordon's Conjecture 3: Fourier transforms in the hyperfinite setting

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