Recent Progress in Multivariate Approximation

the long version

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 interpolation error asymptotics radial basis functions energy minimizing configurations on the sphere quadrature and cubature formulae harmonic functions near a zero blending functions frames and approximation of inverse frame operators The 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.