Diffusion-orthogonal polynomial systems of maximal weighted degree
type: Item
instance of: scholarly article
title: Diffusion-orthogonal polynomial systems of maximal weighted degree
zbMATH Open document ID: 1372.58019
author: Lev Soukhanov
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2017-07-27T00:00:00Z
review text: 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.
reviewed by: Yong Wang
Mathematics Subject Classification ID: 58J65
Mathematics Subject Classification ID: 42C05
zbMATH DE Number: 6754501
zbMATH Keywords: diffusion-orthogonal polynomial system
zbMATH Keywords: maximal weighted model
MaRDI profile type: Publication
full work available at URL: afst.1543
OpenAlex ID: W2605597933
cites work: Symmetric Diffusions with Polynomial Eigenvectors
cites work: Orthogonal polynomials and diffusion operators
cites work: Curvature invariants, differential operators and local homogeneity
DOI: 10.5802/AFST.1543
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description: scientific article; zbMATH DE number 6754501