English

Uncertainty constants and quasispline wavelets

Classical Analysis and ODEs 2014-10-09 v1 Functional Analysis

Abstract

In 1996 Chui and Wang proved that the uncertainty constants of scaling and wavelet functions tend to infinity as smoothness of the wavelets grows for a broad class of wavelets such as Daubechies wavelets and spline wavelets. We construct a class of new families of wavelets (quasispline wavelets) whose uncertainty constants tend to those of the Meyer wavelet function used in construction.

Keywords

Cite

@article{arxiv.0912.3308,
  title  = {Uncertainty constants and quasispline wavelets},
  author = {E. A. Lebedeva},
  journal= {arXiv preprint arXiv:0912.3308},
  year   = {2014}
}

Comments

27 pages

R2 v1 2026-06-21T14:24:57.107Z