Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642033 | Journal of Computational and Applied Mathematics | 2008 | 10 Pages |
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
Authors
Laura Gori, Francesca Pitolli,