Uncertainty principles on compact Riemannian manifolds

DOI10.1016/j.acha.2009.08.012zbMath1192.53043OpenAlexW2007265576WikidataQ115362352 ScholiaQ115362352MaRDI QIDQ982553

Wolfgang Erb

Publication date: 7 July 2010

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.acha.2009.08.012

zbMATH Keywords

Riemannian manifolduncertainty principleDunkl operator

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (12)

A note on starshaped sets in 2-dimensional manifolds without conjugate points ⋮ Optimally space localized polynomials with applications in signal processing ⋮ Improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle ⋮ Sharp uncertainty principles on general Finsler manifolds ⋮ Uncertainty principle and its rigidity on complete gradient shrinking Ricci solitons ⋮ An uncertainty principle on compact manifolds ⋮ Uncertainty principle on weighted spheres, balls and simplexes ⋮ Uncertainty product for Vilenkin groups ⋮ Sharp uncertainty principles on Riemannian manifolds: the influence of curvature ⋮ An alternative to Slepian functions on the unit sphere -- a space-frequency analysis based on localized spherical polynomials ⋮ A survey of uncertainty principles and some signal processing applications ⋮ Uncertainty product of the spherical Abel–Poisson wavelet

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