An embedding of Schwartz distributions in the algebra of asymptotic functions
By Michael Oberguggenberger, Todor D. Todorov. 2024
50 citations recorded by the source corpus.
We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper "asymptotic function," similar to but different from J. F Colombeau's algebras ofnew generalized functions.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2da13c5933a7a3f362be8c464ed5c122e764f66a
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In Applied Mathematics
In Mathematical Physics
Citations in the corpus
- Internal sets and internal functions in Colombeau theory (2007, unknown): “We shall present a new proof which is much simpler than the one given in [12].”
- Topological Structures in Colombeau Algebras: Topological $\widetilde{\mathbb{C}}$ -modules and Duality Theory (2005, methodology): “In order to explain this assertion, inspired by nonstandard analysis [40, 50] and the previous work in this field [1, 32, 46, 47, 48], we introduce the function”