Polynomial interpolation, ideals and approximation order of multivariate refinable functions
نویسندگان
چکیده
منابع مشابه
Multivariate Refinable Functions of High Approximation Order Via Quotient Ideals of Laurent Polynomials
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.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06678-9