Uncertainty principles on weighted spheres, balls, and simplexes
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 62-72 |
Journal / Publication | Canadian Mathematical Bulletin |
Volume | 59 |
Issue number | 1 |
Publication status | Published - 1 Mar 2016 |
Externally published | Yes |
Link(s)
Abstract
This paper studies the uncertainty principle for spherical h-harmonic expansions on the unit sphere of Rd 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.
Research Area(s)
- Dunkl theory, Uncertainty principle
Citation Format(s)
Uncertainty principles on weighted spheres, balls, and simplexes. / Feng, Han.
In: Canadian Mathematical Bulletin, Vol. 59, No. 1, 01.03.2016, p. 62-72.
In: Canadian Mathematical Bulletin, Vol. 59, No. 1, 01.03.2016, p. 62-72.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review