Internal sets and internal functions in Colombeau theory

Details Internal sets and internal functions in Colombeau theory Internal sets and internal functions in Colombeau theory

2007-07-06

arxiv.org/abs/0707.0994v1

Mathematics

Functional Analysis

Scientific paper

Inspired by nonstandard analysis, we define and study internal subsets and
internal functions in algebras of Colombeau generalized functions. We prove a
saturation principle for internal sets and provide applications to Colombeau
algebras.

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