Diffusion-orthogonal polynomial systems of maximal weighted degree (Q2012085)
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: Diffusion-orthogonal polynomial systems of maximal weighted degree |
scientific article; zbMATH DE number 6754501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Diffusion-orthogonal polynomial systems of maximal weighted degree |
scientific article; zbMATH DE number 6754501 |
Statements
Diffusion-orthogonal polynomial systems of maximal weighted degree (English)
0 references
27 July 2017
0 references
The author proves that the boundary of a diffusion-orthogonal polynomial system in \(\mathbb R^d\) is always an algebraic hypersurface of degree less than or equal \(2d\). In dimension 2, when the degree is maximal (so, equals 4), the symbol of \(L\) is a cometric of constant curvature. The author presents a self-contained classification-free proof of this property, and its multidimensional generalisation.
0 references
diffusion-orthogonal polynomial system
0 references
maximal weighted model
0 references
0.87613034
0 references
0.8696542
0 references
0.86636436
0 references
0.8658697
0 references
0.8636943
0 references
0.8612394
0 references
