Multivariate Approximation Theory IV

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

  • C. K. Chui
  • W. Schempp
  • K. Zeller

Table of contents

  1. Front Matter
    Pages I-IX
  2. Carl de Boor, Amos Ron
    Pages 31-40
  3. Jesús M. Carnicer, Mariano Gasca
    Pages 65-72
  4. Han-lin Chen, Charles K. Chui, Charles A. Micchelli
    Pages 73-86
  5. Franz-Jürgen Delvos
    Pages 107-114
  6. Franz-Jürgen Delvos, Helmut Nienhaus
    Pages 115-122
  7. Hans G. Feichtinger, Karlheinz Gröchenig
    Pages 135-142
  8. Ephraim Feig, Charles A. Micchelli
    Pages 143-156
  9. Willi Freeden, Theo Gervens
    Pages 157-171
  10. R. Q. Jia
    Pages 209-216
  11. William A. Light
    Pages 233-240
  12. H. Michael Möller
    Pages 249-256
  13. Paul Sablonnière
    Pages 287-294
  14. Gabriele Steidl, Manfred Tasche
    Pages 321-328

About this book


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 Bernstein polynomials and box splines, for example, play an important role in CAGD. Conversely, the highly important filter bank design problem of signal processing, for instance, gives rise to a new family of multivariate approximating functions, the Gabor wavelets, with interesting technological and biological applications. The conferences on Multivariate Approximation Theory held at the Mathematical Research Institute at Oberwolfach, Black Forest, in 1976, 1979, 1982, 1985 and 1989 ref lect the progress made in this area and related fie Ids. The present volume which is a continuation of the preceding volumes Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571 (1977) Multivariate Approximation Theory, ISNM 51 (1979) Multivariate Approximation Theory II, ISNM 61 (1982) Multivariate Approximation Theory III, ISNM 75 (1985) is based on the conference held on February 12-18, 1989. It includes most of the lectures presented at the Oberwolfach meeting and reveals the wide spectrum of activities in the field of multivariate approximation. The organizers are grateful to the Director of the Oberwolfach Mathematical Research Institute, Professor Dr. M. Barner, and his staff for providing the facili ties, and to Dr. G. Baszenski, Professor Dr. F. J. Delvos, Dr. H.


Calculation Invariant algebra function recursion variable

Authors and affiliations

  • C. K. Chui
    • 1
  • W. Schempp
    • 2
  • K. Zeller
    • 3
  1. 1.Center for Approximation Theory Department of MathematicsTexas A & M UniversityCollege StationUSA
  2. 2.Lehrstuhl für Mathematik IUniversität SiegenSiegenGermany
  3. 3.Mathematisches InstitutUniversität TübingenTübingen 1Germany

Bibliographic information