Article ID Journal Published Year Pages File Type
4642033 Journal of Computational and Applied Mathematics 2008 10 Pages PDF
Abstract

We analyze the properties of a new class of totally positive refinable functions obtained from nonstationary subdivision schemes. We show that the corresponding system of the integer translates is linearly independent, satisfies a Whitney–Schoenberg condition, reproduces polynomials up to a certain degree and generates a multiresolution analysis. Finally, pre-wavelets and bases on the interval are constructed.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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