5,616 research outputs found
Dimensions of products of hyperbolic spaces
We give estimates on asymptotic dimensions of products of general hyperbolic
spaces with following applications to the hyperbolic groups. We give examples
of strict inequality in the product theorem for the asymptotic dimension in the
class of the hyperbolic groups; and examples of strict inequality in the
product theorem for the hyperbolic dimension. We prove that R is dimensionally
full for the asymptotic dimension in the class of the hyperbolic groups
Uncertainty constants and quasispline wavelets
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.Comment: 27 page
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