Weak homogeneity in generalized function algebras
Functional Analysis
2014-04-01 v1
Abstract
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.
Cite
@article{arxiv.0711.2495,
title = {Weak homogeneity in generalized function algebras},
author = {Hans Vernaeve},
journal= {arXiv preprint arXiv:0711.2495},
year = {2014}
}
Comments
20 pages; follow-up of arXiv:math/0611377