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Uncertainty product of spherical wavelets

Classical Analysis and ODEs 2018-04-10 v1 Mathematical Physics math.MP

Abstract

In the paper, asymptotic behavior of the uncertainty product for a family of zonal spherical wavelets is computed. The family contains the most popular wavelets, such as Gauss-Weierstrass, Abel-Poisson and Poisson wavelets and Mexican needlets. Boundedness of the uncertainty constant is in general not given, but it is a property of some of the wavelets from this class.

Cite

@article{arxiv.1804.03046,
  title  = {Uncertainty product of spherical wavelets},
  author = {Ilona Iglewska-Nowak},
  journal= {arXiv preprint arXiv:1804.03046},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-23T01:18:08.244Z