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Search: All articles in the CMB digital archive with keyword uncertainty principle

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1. CMB 2015 (vol 59 pp. 62)

Feng, Han
 Uncertainty Principles on Weighted Spheres, Balls and Simplexes 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. Keywords:uncertainty principle, Dunkl theoryCategories:42C10, 42B10

2. CMB 2007 (vol 50 pp. 291)

Sarkar, Rudra P.; Sengupta, Jyoti
 Beurling's Theorem and Characterization of Heat Kernel for Riemannian Symmetric Spaces of Noncompact Type We prove Beurling's theorem for rank $1$ Riemannian symmetric spaces and relate its consequences with the characterization of the heat kernel of the symmetric space. Keywords:Beurling's Theorem, Riemannian symmetric spaces, uncertainty principleCategories:22E30, 43A85
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