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arxiv: 1507.01394 · v1 · pith:T2MVL4WNnew · submitted 2015-07-06 · 🧮 math.PR · math.AC· math.DG

Diffusions with polynomial eigenvectors via finite subgroups of O(3)

classification 🧮 math.PR math.ACmath.DG
keywords eigenvectorsfinitepolynomialssubgroupsconstructiondiffusiondiffusionsdimension
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We provide new examples of diffusion operators in dimension 2 and 3 which have orthogonal polynomials as eigenvectors. Their construction rely on the finite subgroups of O(3) and their invariant polynomials.

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