Journal article
Authors list: Sauer, T
Publication year: 2002
Pages: 3335-3347
Journal: Proceedings of the American Mathematical Society
Volume number: 130
Issue number: 11
ISSN: 0002-9939
DOI Link: https://doi.org/10.1090/S0002-9939-02-06678-9
Publisher: American Mathematical Society
Abstract:
The paper identifies the multivariate analog of factorization properties of univariate asks for compactly supported refinable functions, that is, the "zero at pi" property, as containment of the ask polynomial in an appropriate quotient ideal. In addition, so e of these quotient ideals are given explicitly.
Citation Styles
Harvard Citation style: Sauer, T. (2002) Polynomial interpolation, ideals and approximation order of multivariate refinable functions, Proceedings of the American Mathematical Society, 130(11), Article UNSP S 0002-9939(02)06678-9. pp. 3335-3347. https://doi.org/10.1090/S0002-9939-02-06678-9
APA Citation style: Sauer, T. (2002). Polynomial interpolation, ideals and approximation order of multivariate refinable functions. Proceedings of the American Mathematical Society. 130(11), Article UNSP S 0002-9939(02)06678-9, 3335-3347. https://doi.org/10.1090/S0002-9939-02-06678-9
Keywords
H-BASES; polynomial preservation; quotient ideals; refinable functions; subdivision
