Uncertainty Principles on weighted spheres, balls and simplexes
Classical Analysis and ODEs
2015-11-18 v1
Abstract
This paper studies the uncertainty principle for spherical -harmonic expansions on the unit sphere of 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.
Cite
@article{arxiv.1511.05229,
title = {Uncertainty Principles on weighted spheres, balls and simplexes},
author = {Han Feng},
journal= {arXiv preprint arXiv:1511.05229},
year = {2015}
}