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ADCM
2004
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14 years 13 days 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
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14 years 13 days ago
Extremal Systems of Points and Numerical Integration on the Sphere
This paper considers extremal systems of points on the unit sphere Sr Rr+1, related problems of numerical integration and geometrical properties of extremal systems. Extremal sys...
Ian H. Sloan, Robert S. Womersley
ADCM
2004
59views more  ADCM 2004»
14 years 13 days 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
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14 years 13 days 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»
14 years 13 days ago
Approximation of Surfaces by Fairness Bicubic Splines
A. Kouibia, M. Pasadas
ADCM
2004
49views more  ADCM 2004»
14 years 13 days ago
Free-knot Splines Approximation of s-monotone Functions
Viktor N. Konovalov, Dany Leviatan
ADCM
2004
73views more  ADCM 2004»
14 years 13 days 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