Uncertainty constants and quasispline wavelets

Details Uncertainty constants and quasispline wavelets Uncertainty constants and quasispline wavelets

2009-12-17

arxiv.org/abs/0912.3308v1

Mathematics

Classical Analysis and ODEs

27 pages

Scientific paper

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.

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