Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418070 | Journal of Mathematical Analysis and Applications | 2015 | 16 Pages |
Abstract
Based on a refinement of the notion of internal sets in Colombeau's theory, so-called strongly internal sets, we introduce the space of generalized smooth functions, a maximal extension of Colombeau generalized functions. Generalized smooth functions as morphisms between sets of generalized points form a sub-category of the category of topological spaces. In particular, they can be composed unrestrictedly.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Paolo Giordano, Michael Kunzinger, Hans Vernaeve,