Multivariate Approximation Theory IV Proceedings of the Conference at the Mathematical Research Institute at Oberwolfach, Black Forest, February 12–18, 1989

Multivariate Approximation Theory forms a rapidly evolving field in Applied Mathematics. The reason for its particular current interest lies in its impact on Computer Aided Geometric Design (CAGD), Image Processing, Pattern Recogni tion, and Mult idimensional Signal Processing. Mul ti var iate Berns...

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Bibliographic Details
Main Authors: CHUI., SCHEMP. (Author), ZELLER. (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 1989, 1989
Edition:1st ed. 1989
Series:International Series of Numerical Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • On Periodic Hermite-Birkhoff Interpolation by Translation
  • Problems and Results in the Calculation of Extremal Fundamental Systems for Sphere and Ball
  • Bernstein Quasi-Interpolants on [0,1]
  • Elementary Holograms, Artificial Neural Networks, and Theta-Null Values
  • Some Recent Results on Complex Interpolatory Approximation
  • Index Transforms for Multidimensional Discrete Fourier Transforms
  • Minimal Properties of Periodic Box-Spline Interpolation on a Three Direction Mesh
  • Strong Uniform Approximation by Bochner-Riesz Means
  • Multidimensional Irregular Sampling of Band-Limited Functions in Lp-Spaces
  • L2-Synthesis by Ambiguity Functions
  • Vector Spherical Spline Interpolation
  • Simultaneous Approximation by Generalized n-th Order Blending Operators
  • Some Results on Quadratic Splines of Three (and more) Variables
  • On Iterates of Linear Variation Diminishing Operators and Characterization of Bernstein Type Polynomials
  • Methoden der Fourier-Transformation bei der kardinalen Interpolation periodischer Daten
  • Dual Bases Associated with Box Splines
  • Some Pointwise Negative Results in Multivariate Approximation by Convolution Processes of Fejér’s Type
  • On Multidimensional Lebesgue-Stieltjes Convolution Operators
  • The Singularity of Distance Matrices
  • Cardinal Interpolation with Polyharmonic Splines
  • Multivariate Rational Interpolation
  • On the Role ofthe Exponential Eigen Splines in Translation Invariant Periodic Spline Spaces
  • Uniform Closure of Tensor Product of Linear Subspaces
  • A Recursion Formula for the Dimension of Super Spline Spaces of Smoothness r and Degree d ** r2k
  • Approximation with Barycentric Coordinates: The Hilbertian Case
  • A Discrete Fourier Transform Scheme for Boolean Sums of Trigonometric Operators
  • A Local Basis for Certain Smooth Bivariate PP Spaces
  • Polynomial Ideals and Multivariate Splines
  • Cardinal Interpolation with Radial Basis Functions: An Integral Transform Approach
  • On the Evaluation of Multivariate Lagrange Formulae
  • Asymptotically Optimal Sampling Schemes for Periodic Functions II: The Multivariate Case
  • Generalized Bochner-Riesz Means of Fourier Integrals
  • An Algorithm for Best Approximating Algebraic Polynomials in Lp over a Simplex
  • Rational and Algebraic Approximation for Initial- and Boundary-Value-Problems
  • R-th Order Blending Rectangle Rules
  • A Trivariate Boolean Cubature Scheme
  • Multivariate Band-Limited Functions: Sampling Representation and Approximation