Geodesic
Uncertainty Principles on Weighted Spheres, Balls, and Simplexes
Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 62-72

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DOI

This paper studies the uncertainty principle for spherical $h$ -harmonic expansions on the unit sphere of ${{\mathbb{R}}^{d}}$ associated with a weight function invariant under a general finite reflection group, which is in full analogy with the classical Heisenberg inequality. Our proof is motivated by a new decomposition of the Dunkl–Laplace–Beltrami operator on the weighted sphere.
DOI : 10.4153/CMB-2015-068-0
Mots-clés : 42C10, 42B10, uncertainty principle, Dunkl theory 
Feng, Han. Uncertainty Principles on Weighted Spheres, Balls, and Simplexes. Canadian mathematical bulletin, Tome 59 (2016) no. 1, pp. 62-72. doi: 10.4153/CMB-2015-068-0
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     title = {Uncertainty {Principles} on {Weighted} {Spheres,} {Balls,} and {Simplexes}},
     journal = {Canadian mathematical bulletin},
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     year = {2016},
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     doi = {10.4153/CMB-2015-068-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-068-0/}
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