Weak homogeneity in generalized function algebras

Details Weak homogeneity in generalized function algebras Weak homogeneity in generalized function algebras

2007-11-15

arxiv.org/abs/0711.2495v1

Mathematics

Functional Analysis

20 pages; follow-up of arXiv:math/0611377

Scientific paper

In this paper, weakly homogeneous generalized functions in the special
Colombeau algebras are determined up to equality in the sense of generalized
distributions. This yields characterizations that are formally similar to
distribution theory. Further, we give several characterizations of equality in
the sense of generalized distributions in these algebras.

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