Konferenzpaper

Jahr der Veröffentlichung: 2008

Seiten: 447-459

Zeitschrift: Journal of Computational and Applied Mathematics

Bandnummer: 221

Heftnummer: 2

ISSN: 0377-0427

Open Access Status: Bronze

DOI Link: https://doi.org/10.1016/j.cam.2007.10.021

Konferenz: International Conference on Recent Progress in Spline and Wavelet Approximation

Verlag: Elsevier

Abstract: 
This paper summarizes the algebraic quotient ideal approach to polynomial generation by refinable functions and connects it to Strang-Fix conditions and factorization with respect to difference operators. Motivated by the latter one, we also consider vector subdivision schemes with matrix valued coefficients and review some of their properties. (C) 2008 Published by Elsevier B.V.

Harvard-Zitierstil: Sauer, T. (2008) Multivariate refinable functions, differences and ideals - a simple tutorial, Journal of Computational and Applied Mathematics, 221(2), pp. 447-459. https://doi.org/10.1016/j.cam.2007.10.021

APA-Zitierstil: Sauer, T. (2008). Multivariate refinable functions, differences and ideals - a simple tutorial. Journal of Computational and Applied Mathematics. 221(2), 447-459. https://doi.org/10.1016/j.cam.2007.10.021