T�tulo: Recent Progress in Multivariate Approximation: 4th International Conference, Witten-Bommerholz, September 2000 (International Series of Numerical Mathematics)
Editor: Birkh�user Basel
Fecha de publicaci�n: 2001
Idioma: Ingl�s
ISBN 10: 3764365056
ISBN 13: 9783764365059
Encuadernaci�n: Encuadernaci�n de tapa dura
Estado: New

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Sinopsis

Jochen W. Schmidt in Memoriam.- Best Approximation of Polynomials on the Sphere and on the Ball.- The Sign of a Harmonic Function Near a Zero.- Radial Basis Functions for the Sphere.- Cubature Formulae for Polyharmonic Functions.- On the Structure of Kergin Interpolation for Points in General Position.- Frames Containing a Riesz Basis and Approximation of the Inverse Frame Operator.- Kronecker Type Convolution of Function Vectors with one Refinable Factor.- Best One-Sided L1-Approximation by B2,1-Blending Functions.- Open Problem: Existence of Hermite Interpolatory Subdivision Schemes with Arbitrary Large Smoothnesses.- Asymptotic Formulas in Cardinal Interpolation and Orthogonal Projection.- Note on d-Extremal Configurations for the Sphere in ?d+1.- Some Cubature Formulae Using Mixed Type Data.- On an Extremal Problem Originating in Questions of Unconditional Convergence.- Node Insertion and Node Deletion for Radial Basis Functions.- Tangent Space Methods for Approximation on Compact Homogeneous Manifolds.- Open Problem Concerning Fourier Transforms of Radial Functions in Euclidean Space and on Spheres.- Local Lagrange Interpolation on Powell-Sabin Triangulations and Terrain Modelling.- The Geometry of Nodes in a Positive Quadrature on the Sphere.- Normalized Tight Frames in Finite Dimensions.- Publications of Jochen W. Schmidt.

Rese�a del editor

This volume presents the main results of the 4th International Conference on Multivariate Approximation, which was held at Witten-Bommerholz, September 24-29, 2000. Nineteen selected, peer-reviewed contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. Features and Topics:interpolation and approximation on compact sets, kergin interpolationerror asymptoticsradial basis functionsenergy minimizing configurations on the spherequadrature and cubature formulaeharmonic functions near a zeroblending functionsframes and approximation of inverse frame operatorsThe book is an essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.

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