Comparison of some notions of \(C^k\)-maps in multi-variable non-archimedian analysis (Q2469102)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Comparison of some notions of \(C^k\)-maps in multi-variable non-archimedian analysis |
scientific article |
Statements
Comparison of some notions of \(C^k\)-maps in multi-variable non-archimedian analysis (English)
0 references
4 February 2008
0 references
The author compares various definitions of \(C^k\)-maps of open subsets of finite-dimensional vector spaces over a complete valued field. It is shown that the notions of \(C^k\)-maps defined by Schikhof, De Smedt, Bertram, Neeb and the author are identical. Various notions of Hölder differentiable maps are introduced and compared.
0 references
non-archimedian analysis
0 references
differentiable map
0 references
partial difference quotient
0 references
directional difference quotient
0 references
differentiability property
0 references
weak differentiability
0 references
