2013/05/07 by Eduard A. Nigsch, E. A. Nigsch, Nigsch, E. A.
Mathematics · #Mathematical and Theoretical Analysis #math.FA #msc:46F30
paper · pdf · doi:10.48550/arxiv.1305.1460
31 pages; updated section on sheaf properties
arxiv created 2013/07/01 · arxiv updated 2013/07/02
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.