Uncertainty principles on weighted spheres, balls, and simplexes

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)62-72
Journal / PublicationCanadian Mathematical Bulletin
Volume59
Issue number1
Publication statusPublished - 1 Mar 2016
Externally publishedYes

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