An algebraic approach to manifold-valued generalized functions

Details An algebraic approach to manifold-valued generalized functions An algebraic approach to manifold-valued generalized functions

2010-10-18

arxiv.org/abs/1010.3562v2

Mathematics

Functional Analysis

7 pages

Scientific paper

10.1007/s00605-011-0317-1

We discuss the nature of structure-preserving maps of varies function algebras. In particular, we identify isomorphisms between special Colombeau algebras on manifolds with invertible manifold-valued generalized functions in the case of smooth parametrization. As a consequence, and to underline the consistency and validity of this approach, we see that this generalized version on algebra isomorphisms in turn implies the classical result on algebras of smooth functions.

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