Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615596 | Journal of Mathematical Analysis and Applications | 2015 | 21 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
E.A. Nigsch,