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ADCM
2004
93views more  ADCM 2004»
13 years 5 months ago
Multivariate Refinable Functions of High Approximation Order Via Quotient Ideals of Laurent Polynomials
We give an algebraic interpretation of the well
H. Michael Möller, Tomas Sauer
ADCM
2004
59views more  ADCM 2004»
13 years 5 months ago
Strictly Positive Definite Functions on a Real Inner Product Space
If f(t) = k=0 aktk converges for all t IR with all coefficients ak 0, then the function f(< x, y >) is positive definite on H
Allan Pinkus
ADCM
2004
58views more  ADCM 2004»
13 years 5 months ago
Classification of Bivariate Configurations with Simple Lagrange Interpolation Formulae
In 1977 Chung and Yao introduced a geometric characterization in multivariate interpolation in order to identify distributions of points such that the Lagrange functions are produc...
Jesús M. Carnicer, Mariano Gasca
ADCM
2004
58views more  ADCM 2004»
13 years 5 months ago
On the Representation of Band-Dominant Functions on the Sphere Using Finitely Many Bits
A band-dominant function on the Euclidean sphere embedded in Rq+1 is the restriction to this sphere of an entire function of q + 1 complex variables having a finite exponential ty...
Hrushikesh Narhar Mhaskar, Francis J. Narcowich, J...
ADCM
2004
73views more  ADCM 2004»
13 years 5 months ago
Polynomial Reproduction in Subdivision
Abstract. We study conditions on the matrix mask of a vector subdivision scheme ensuring that certain polynomial input vectors yield polynomial output again. The conditions are in ...
Kurt Jetter, G. Zimmermann