Constructive nonstandard representations of generalized functions (Q5935891)
From MaRDI portal
scientific article; zbMATH DE number 1611974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive nonstandard representations of generalized functions |
scientific article; zbMATH DE number 1611974 |
Statements
Constructive nonstandard representations of generalized functions (English)
0 references
28 June 2001
0 references
It is shown that every Schwartz distribution has kernels in the space of nonstandard functions \(^*C^\infty(\Omega)\). The result is obtained in the framework of a constructive sheaf-theoretical version of the nonstandard analysis.
0 references
Schwartz distribution
0 references
kernels
0 references
space of nonstandard functions
0 references
constructive sheaf-theoretical version of the nonstandard analysis
0 references
