Multivariate Approximation
Recent Trends and Results. Proceedings of the 2nd International Conference on Multivariate Approximation Theory held at Witten-Bommerholz, Germany, September 29 - October 4, 1996
Published on 9. September 1997
Book
Hardback
320 pages
978-3-05-501770-4 (ISBN)
Description
A presentation of the main results of the Second International Conference on Multivariate Approximation, held in Haus Bommerholz near Witten, Germany, from September 29 until October 4, 1996. There are contributions on the following topics: interpolation and hyperinterpolation on the sphere; quadrature; discrepancy and spherical designs; multivariate convex spline interpolation; triangular finite element spaces; polar form of splines; refinable spline pairs; local box dimension of fractal functions; symbolic treatment of algebraic systems; harmonic approximation and boundary behaviour; quasi-balayage; Landau-Kolmogorov inequality; trigonometric approximation in multivariate periodic Hilbert spaces; orthonormal polynomial bases of low degree; synthesis and analysis with multivariate wavelets and frames.
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Content
Participants; Scientific Program of the Conference; Weights and Angles of Quadrature Rules on the Sphere Sn-1; S. Blunck; Local Box Dimension of Fractal Functions; Z. Ciesielski; Trigonometric Approximation in Multivariate Periodic Hilbert Spaces; F.-J. Delvos; Harmonic Approximation and Boundary Behaviour; S. J. Gardiner; Properties of Bivariate Refinable Spline Pairs; T. N. T. Goodman; Polar Cone Splines; R. Gormaz; Discrepancies of Point Sequences on the Sphere and Numerical Integration; P. J. Grabner, B. Klinger and R. F. Tichy; Regularity of Multivariate Hermite Interpolation; H. Hakopian; Extremizers for the Multivariate Landau-Kolmogorov Inequality; O. Kounchev; Nested Sequences of Triangular Finite Element Spaces; A. Le M?haut?; Charge Distribution of Points on the Sphere and Corresponding Cubature Formulae; U. Maier and J. Fliege; Solving of Algebraic Equations u An Interplay of Symbolical and Numerical Methods; H. M. M/ller; An Orthonormal Bivariate Algebraic Polynomial Basis for C(I2) of Low Degree; J. Prestin and F. Sprengel; Tensor Product Splines on Refined Grids in S-Convex Interpolation; J. W. Schmidt and M. Walther; Quasi-Balayage and A Priori Estimates for the Laplace Operator I; H. S. Shapiro; Quasi-Balayage and A Priori Estimates for the Laplace Operator II; H. S. Shapiro; Interpolation and Hyperinterpolation on the Sphere; I. H. Sloan; Interpolation and Wavelets on Sparse Gau-Chebyshev Grids; F. Sprengel; The General Structure of Multivariate Affine Frames; J. St/ckler; Spectral Sythesis with Wavelet Methods; G. Zimmermann.