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.
Multiresolution analyses originated from nonstationary subdivision schemes / Gori, Laura; Pitolli, Francesca. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - STAMPA. - 221:2(2008), pp. 406-415. [10.1016/j.cam.2007.10.024]
Multiresolution analyses originated from nonstationary subdivision schemes
GORI, Laura;PITOLLI, Francesca
2008
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.| File | Dimensione | Formato | |
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