Diffeomorphism invariant Colombeau algebras. Part II: Classification

Details Diffeomorphism invariant Colombeau algebras. Part II: Classification Diffeomorphism invariant Colombeau algebras. Part II: Classification

2001-04-27

arxiv.org/abs/math/0104270v1

Mathematics

Functional Analysis

10 pages, LaTeX, Contribution to Proceedings of ICGF 2000

Scientific paper

This contribution presents a comprehensive analysis of Colombeau (-type) algebras in the range between the diffeomorphism invariant algebra introduced in Part I and Colombeau's original algebra. Along the way, it provides several classification results which are indispensable for obtaining an intrinsic description of a (full) Colombeau algebra on a manifold. The latter will be the focus of Part III of this series of contributions.

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