Burchnall-Chaundy theory, Ore extensions and \(\sigma\)-differential operators. (Q2874713)
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: Burchnall-Chaundy theory, Ore extensions and \(\sigma\)-differential operators. |
scientific article; zbMATH DE number 6327990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Burchnall-Chaundy theory, Ore extensions and \(\sigma\)-differential operators. |
scientific article; zbMATH DE number 6327990 |
Statements
8 August 2014
0 references
Burchnall-Chaundy theory
0 references
Ore extensions
0 references
differential operators
0 references
algebraic curves
0 references
resultants
0 references
Burchnall-Chaundy theory, Ore extensions and \(\sigma\)-differential operators. (English)
0 references
This paper seems to study certain spectral properties of pairs of \(\sigma\)-differential operators. More precisely, it seems that the author shows that, given a pair of such operators which commute, the set of their common eigenvalues forms an algebraic curve defined over a suitable field extension and computable using calculus of resultants in Ore extensions. Unfortunately, the presentation of the material in the paper is rather unprecise and confusing.
0 references
