Article ID Journal Published Year Pages File Type
4615596 Journal of Mathematical Analysis and Applications 2015 21 Pages PDF
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
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