Diffusions with polynomial eigenvectors via finite subgroups of $O\left(3\right)$
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 25 (2016) no. 2-3, pp. 683-721.

We provide new examples of diffusion operators in dimension 2 and 3 which have orthogonal polynomials as eigenvectors. Their construction relies on the finite subgroups of $O\left(3\right)$ and their invariant polynomials.

Publié le : 2016-07-11
DOI : https://doi.org/10.5802/afst.1508
@article{AFST_2016_6_25_2-3_683_0,
author = {Dominique Bakry and Xavier Bressaud},
title = {Diffusions with polynomial eigenvectors via finite subgroups of $O(3)$},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 25},
number = {2-3},
year = {2016},
pages = {683-721},
doi = {10.5802/afst.1508},
language = {en},
url = {afst.centre-mersenne.org/item/AFST_2016_6_25_2-3_683_0/}
}
Dominique Bakry; Xavier Bressaud. Diffusions with polynomial eigenvectors via finite subgroups of $O(3)$. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 25 (2016) no. 2-3, pp. 683-721. doi : 10.5802/afst.1508. https://afst.centre-mersenne.org/item/AFST_2016_6_25_2-3_683_0/

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