The functional analytic foundation of Colombeau algebras
Functional Analysis
2013-07-02 v2
Abstract
Colombeau algebras constitute a convenient framework for performing nonlinear operations like multiplication on Schwartz distributions. Many variants and modifications of these algebras exist for various applications. We present a functional analytic approach placing these algebras in a unifying hierarchy, which clarifies their structural properties as well as their relation to each other.
Keywords
Cite
@article{arxiv.1305.1460,
title = {The functional analytic foundation of Colombeau algebras},
author = {E. A. Nigsch},
journal= {arXiv preprint arXiv:1305.1460},
year = {2013}
}
Comments
31 pages; updated section on sheaf properties