Conference paper
Authors list: Möller, HM; Sauer, T
Publication year: 2004
Pages: 205-228
Journal: Advances in Computational Mathematics
Volume number: 20
Issue number: 1-3
ISSN: 1019-7168
eISSN: 1572-9044
DOI Link: https://doi.org/10.1023/A:1025889132677
Conference: International Workshop on Multivariate Approximation and Interpolation with Applications
Publisher: Springer
Abstract:
We give an algebraic interpretation of the well-known "zero-condition" or "sum rule" for multivariate refinable functions with respect to an arbitrary scaling matrix. The main result is a characterization of these properties in terms of containment in a quotient ideal, however not in the ring of polynomials but in the ring of Laurent polynomials.
Citation Styles
Harvard Citation style: Möller, H. and Sauer, T. (2004) Multivariate refinable functions of high approximation order via quotient ideals of Laurent polynomials, Advances in Computational Mathematics, 20(1-3), pp. 205-228. https://doi.org/10.1023/A:1025889132677
APA Citation style: Möller, H., & Sauer, T. (2004). Multivariate refinable functions of high approximation order via quotient ideals of Laurent polynomials. Advances in Computational Mathematics. 20(1-3), 205-228. https://doi.org/10.1023/A:1025889132677
Keywords
Grobner bases; Laurent polynomials; quotient ideals; subdivision