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International Series of Numerical Mathematics

Multivariate Approximation Theory IV

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

Authors: CHUI, SCHEMP, ZELLER

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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.

Table of contents (37 chapters)

  • A Recursion Formula for the Dimension of Super Spline Spaces of Smoothness r and Degree d > r2 k

    Alfeld, Peter (et al.)

    Pages 1-8

  • Approximation with Barycentric Coordinates the Hilbertian Case

    Atteia, M.

    Pages 9-14

  • A Discrete Fourier Transform Scheme for Boolean Sums of Trigonometric Operators

    Baszenski, Dr. Günter (et al.)

    Pages 15-24

  • A Local Basis for Certain Smooth Bivariate PP Spaces

    Boor, Carl

    Pages 25-30

  • Polynomial Ideals and Multivariate Splines

    Boor, Carl (et al.)

    Pages 31-40

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-3-0348-7298-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-3-7643-2384-4
  • Free shipping for individuals worldwide
  • Currently out of stock.
Softcover $99.00
price for USA in USD
  • ISBN 978-3-0348-7300-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multivariate Approximation Theory IV
Book Subtitle
Proceedings of the Conference at the Mathematical Research Institute at Oberwolfach, Black Forest, February 12–18, 1989
Authors
Series Title
International Series of Numerical Mathematics
Series Volume
90
Copyright
1989
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag Basel
eBook ISBN
978-3-0348-7298-0
DOI
10.1007/978-3-0348-7298-0
Hardcover ISBN
978-3-7643-2384-4
Softcover ISBN
978-3-0348-7300-0
Series ISSN
0373-3149
Edition Number
1
Number of Pages
IX, 342
Topics