Point value characterizations and related results in the full Colombeau algebras G^e and G^d

Details Point value characterizations and related results in the full Colombeau algebras G^e and G^d Point value characterizations and related results in the full Colombeau algebras G^e and G^d

2011-04-05

arxiv.org/abs/1104.0911v1

Mathematics

Functional Analysis

Scientific paper

We present a point value characterization for elements of the elementary full
Colombeau algebra G^e and the diffeomorphism invariant full Colombeau algebra
G^d. Moreover, several results from the special algebra G^s about generalized
numbers and invertibility are extended to the elementary full algebra.

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