The fundamental theorem of calculus for multidimensional Banach space-valued Henstock vector integrals (Q1396793)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The fundamental theorem of calculus for multidimensional Banach space-valued Henstock vector integrals |
scientific article; zbMATH DE number 1947641
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fundamental theorem of calculus for multidimensional Banach space-valued Henstock vector integrals |
scientific article; zbMATH DE number 1947641 |
Statements
The fundamental theorem of calculus for multidimensional Banach space-valued Henstock vector integrals (English)
0 references
9 July 2003
0 references
For Banach space-valued functions \(f\) and operator valued functions \(\alpha \) defined on multidimensional intervals \([a,b]\) Kurzweil-Henstock-Stieltjes type indefinite integrals \(\int _{[a,t]}\alpha df\) and \(\int _{[a,t]}d \alpha f\) are studied and Newton-Leibniz type formulas are given.
0 references
Banach space-valued function
0 references
Henstock integral
0 references
