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• W2007265576 abstract "Based on a result of Rösler and Voit for ultraspherical polynomials, we derive an uncertainty principle for compact Riemannian manifolds M. The frequency variance of a function in L2(M) is therein defined by means of the radial part of the Laplace–Beltrami operator. The proof of the uncertainty rests upon Dunkl theory. In particular, a special differential-difference operator is constructed which plays the role of a generalized root of the radial Laplacian. Subsequently, we prove with a family of Gaussian-like functions that the deduced uncertainty is asymptotically sharp. Finally, we specify in more detail the uncertainty principles for well-known manifolds like the d-dimensional unit sphere and the real projective space." @default.
• W2007265576 created "2016-06-24" @default.
• W2007265576 creator A5036671307 @default.
• W2007265576 date "2010-09-01" @default.
• W2007265576 modified "2023-10-16" @default.
• W2007265576 title "Uncertainty principles on compact Riemannian manifolds" @default.
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• W2007265576 doi "https://doi.org/10.1016/j.acha.2009.08.012" @default.
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