✦ LIBER ✦

Multiresolution analyses originated from nonstationary subdivision schemes

✍ Scribed by Laura Gori; Francesca Pitolli

Book ID: 104005745
Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 661 KB
Volume: 221
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.10.024

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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