✦ LIBER ✦

Nonstandard analysis and locally compact Abelian groups

✍ Scribed by E. I. Gordon

Publisher: Springer Netherlands
Year: 1991
Tongue: English
Weight: 787 KB
Volume: 25
Category: Article
ISSN: 0167-8019
DOI: 10.1007/bf00047004

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✦ Synopsis

Using nonstandard analysis, a new method is introduced for locally compact Abelian topological groups. Hyperfiniteness plays an important role. All LCA groups can be obtained this way. This yields approximation results for the (generalized) Fourier transform.

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