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

preprint2011arXivOpen access

Abstract

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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