Recent Progress in Multivariate Approximation: 4th International Conference, Witten-Bommerholz(germany), September 2000

ISBN-13: 9783034894982 / Angielski / Miękka / 2012 / 265 str.

Werner Haussmann; Kurt Jetter; Manfred Reimer

Opis

Nineteen 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. 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.

Spis treści

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.

O autorze

Manfred Reimer arbeitete nach der Promotion an der Universität Tübingen zunächst als Wissenschaftlicher Assistent am Mathematischen Institut Tübingen. 1966 folgt die Habilitation, ebenfalls in Tübingen. 1967/68 arbeitete Professor Reimer als Research Assistant Professor an der University of Maryland. 1969 wechselte er als ordentlicher Professor an die Universität Dortmund, wo er an der Gründung und dem Aufbau des Mathematischen Instituts mitwirkte, forschte und lehrte. Seit 1999 ist er emeritiert, aber weiterhin wissenschaftlich tätig.