Journalartikel

Jahr der Veröffentlichung: 2002

Seiten: 3335-3347

Zeitschrift: Proceedings of the American Mathematical Society

Bandnummer: 130

Heftnummer: 11

ISSN: 0002-9939

DOI Link: https://doi.org/10.1090/S0002-9939-02-06678-9

Verlag: 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.

Harvard-Zitierstil: 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-Zitierstil: 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