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 and their invariant polynomials.
@article{AFST_2016_6_25_2-3_683_0,
author = {Bakry, Dominique and Bressaud, Xavier},
title = {Diffusions with polynomial eigenvectors via finite subgroups of $O(3)$},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {683--721},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 25},
number = {2-3},
year = {2016},
doi = {10.5802/afst.1508},
zbl = {1369.35038},
mrnumber = {3530172},
language = {en},
url = {http://archive.numdam.org/articles/10.5802/afst.1508/}
}
TY - JOUR AU - Bakry, Dominique AU - Bressaud, Xavier TI - Diffusions with polynomial eigenvectors via finite subgroups of $O(3)$ JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2016 DA - 2016/// SP - 683 EP - 721 VL - Ser. 6, 25 IS - 2-3 PB - Université Paul Sabatier, Toulouse UR - http://archive.numdam.org/articles/10.5802/afst.1508/ UR - https://zbmath.org/?q=an%3A1369.35038 UR - https://www.ams.org/mathscinet-getitem?mr=3530172 UR - https://doi.org/10.5802/afst.1508 DO - 10.5802/afst.1508 LA - en ID - AFST_2016_6_25_2-3_683_0 ER -
Bakry, Dominique; Bressaud, Xavier. 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. http://archive.numdam.org/articles/10.5802/afst.1508/
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