Skip to main content
SpringerLink
Log in
Birkhäuser

Recent Progress in Multivariate Approximation

4th International Conference, Witten-Bommerholz(Germany), September 2000

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Werner Haussmann

    1. Mathematisches Institut, Gerhard-Mercator-Universität Duisburg, Duisburg, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Kurt Jetter

    1. Institut für Angewandte Mathematik und Statistik, Universität Hohenheim, Stuttgart, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Manfred Reimer

    1. Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Series of Numerical Mathematics (ISNM, volume 137)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (21 papers)

  1. Front Matter

    Pages 1-18
    Download chapter PDF

  2. Jochen W. Schmidt in Memoriam

    • Manfred Reimer, Hubert Schwetlick
    Pages 19-21

  3. Best Approximation of Polynomials on the Sphere and on the Ball

    • Nikolay N. Andreev, Vladimir A. Yudin
    Pages 23-30

  4. The Sign of a Harmonic Function Near a Zero

    • David H. Armitage, Stephen J. Gardiner
    Pages 31-32

  5. Radial Basis Functions for the Sphere

    • Brad J. C. Baxter, Simon Hubbert
    Pages 33-47

  6. Cubature Formulae for Polyharmonic Functions

    • Borislav Bojanov
    Pages 49-74

  7. On the Structure of Kergin Interpolation for Points in General Position

    • Len Bos, Shayne Waldron
    Pages 75-87

  8. Frames Containing a Riesz Basis and Approximation of the Inverse Frame Operator

    • Ole Christensen, Alexander Lindner
    Pages 89-100

  9. Kronecker Type Convolution of Function Vectors with one Refinable Factor

    • Costanza Conti
    Pages 101-113

  10. Best One-Sided L 1-Approximation by B 2,1-Blending Functions

    • Dimiter Dryanov, Werner Haußmann, Petar Petrov
    Pages 115-134

  11. Open Problem: Existence of Hermite Interpolatory Subdivision Schemes with Arbitrary Large Smoothnesses

    • Nira Dyn
    Pages 135-137

  12. Asymptotic Formulas in Cardinal Interpolation and Orthogonal Projection

    • Karol Dziedziul
    Pages 139-157

  13. Note on d—Extremal Configurations for the Sphere in ℝ d+1

    • Mario Götz, Edward B. Saff
    Pages 159-162

  14. Some Cubature Formulae Using Mixed Type Data

    • Vesselin Gushev, Geno Nikolov
    Pages 163-184

  15. On an Extremal Problem Originating in Questions of Unconditional Convergence

    • Hermann König
    Pages 185-192

  16. Node Insertion and Node Deletion for Radial Basis Functions

    • Alain Le Méhauté, Yvon Lafranche
    Pages 193-209

  17. Tangent Space Methods for Approximation on Compact Homogeneous Manifolds

    • Jeremy Levesley
    Pages 211-224

  18. Open Problem Concerning Fourier Transforms of Radial Functions in Euclidean Space and on Spheres

    • Jeremy Levesley, Simon Hubbert
    Pages 225-226

  19. Local Lagrange Interpolation on Powell-Sabin Triangulations and Terrain Modelling

    • Günther Nürnberger, Frank Zeilfelder
    Pages 227-244

  20. The Geometry of Nodes in a Positive Quadrature on the Sphere

    • Manfred Reimer
    Pages 245-248
Back to top

Keywords

About this book

These proceedings contain the main topics and results presented at the Fourth International Conference on Multivariate Approximation. The meeting took place during the week of September 24-29, 2000 at the now well-known "Haus Bommerholz", the guest-house of the University of Dortmund. It hosted 43 participants from 16 countries, and the program included 9 invited one-hour lectures, 21 contributed talks, and two problem sessions. The articles collected here are carefully peer-refereed and suitably edited for publication. Following the tradition of this series of conferences, the meeting was aimed at advancing selected topics of Multivariate Approximation Theory. These include approximation on compact sets (such as spheres, balls, or compact ho­ mogeneous manifolds), spherical designs and energy functionals, interpolation by radial basis functions and by splines, frame theory and Gabor analysis, re­ finable function systems and subdivision, properties of harmonic, polyharmonic and blending functions, sampling and data compression, among others. The editors would like to express their thanks to all who have given their sup­ port to the conference, and to the preparation of this book. In particular, our thanks go to the Deutsche Forschungsgemeinschaft for their funding of the con­ ference, to the University of Dortmund, and to the staff of Haus Bommerholz for their help running the conference, and to the Universities of Dortmund and Duisburg for the financial support of this proceedings volume.

Editors and Affiliations

  • Mathematisches Institut, Gerhard-Mercator-Universität Duisburg, Duisburg, Germany

    Werner Haussmann

  • Institut für Angewandte Mathematik und Statistik, Universität Hohenheim, Stuttgart, Germany

    Kurt Jetter

  • Fachbereich Mathematik, Universität Dortmund, Dortmund, Germany

    Manfred Reimer

Bibliographic Information

  • Book Title: Recent Progress in Multivariate Approximation

  • Book Subtitle: 4th International Conference, Witten-Bommerholz(Germany), September 2000

  • Editors: Werner Haussmann, Kurt Jetter, Manfred Reimer

  • Series Title: International Series of Numerical Mathematics

  • DOI: https://doi.org/10.1007/978-3-0348-8272-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 2001

  • Hardcover ISBN: 978-3-7643-6505-9Published: 01 October 2001

  • Softcover ISBN: 978-3-0348-9498-2Published: 21 October 2012

  • eBook ISBN: 978-3-0348-8272-9Published: 06 December 2012

  • Series ISSN: 0373-3149

  • Series E-ISSN: 2296-6072

  • Edition Number: 1

  • Number of Pages: 265

  • Topics: Applications of Mathematics, Computer Science, general, Geophysics and Environmental Physics

Publish with us

Policies and ethics

Back to top

Search

Navigation