Uncertainty constants and quasispline wavelets
arXiv:0912.3308 · doi:10.1016/j.acha.2010.08.005
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.
27 pages