Applied and Numerical Harmonic Analysis

New Perspectives on Approximation and Sampling Theory

Festschrift in Honor of Paul Butzer's 85th Birthday

Editors: Zayed, Ahmed I., Schmeisser, Gerhard (Eds.)

  • Contains an overview of the contributions made by Paul Butzer and his Aachen group to approximation and sampling theory
  • Presents new developments and techniques in approximation, sampling theory and harmonic analysis
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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08801-3
  • Digitally watermarked, DRM-free
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Hardcover $129.00
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  • ISBN 978-3-319-08800-6
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Softcover $129.00
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  • ISBN 978-3-319-34399-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Paul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician.

In celebration of Paul Butzer’s 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multi-scale analysis, frames, and special functions.

New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters self-contained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing.

Table of contents (19 chapters)

  • Abstract Exact and Approximate Sampling Theorems

    Dodson, M. M.

    Pages 1-21

  • Sampling in Reproducing Kernel Hilbert Space

    Higgins, J. R.

    Pages 23-38

  • Boas-Type Formulas and Sampling in Banach Spaces with Applications to Analysis on Manifolds

    Pesenson, Isaac Z.

    Pages 39-61

  • On Window Methods in Generalized Shannon Sampling Operators

    Kivinukk, Andi (et al.)

    Pages 63-85

  • Generalized Sampling Approximation for Multivariate Discontinuous Signals and Applications to Image Processing

    Bardaro, Carlo (et al.)

    Pages 87-114

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08801-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-08800-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-319-34399-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
New Perspectives on Approximation and Sampling Theory
Book Subtitle
Festschrift in Honor of Paul Butzer's 85th Birthday
Editors
  • Ahmed I. Zayed
  • Gerhard Schmeisser
Series Title
Applied and Numerical Harmonic Analysis
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-08801-3
DOI
10.1007/978-3-319-08801-3
Hardcover ISBN
978-3-319-08800-6
Softcover ISBN
978-3-319-34399-0
Series ISSN
2296-5009
Edition Number
1
Number of Pages
XXII, 472
Number of Illustrations and Tables
30 b/w illustrations, 40 illustrations in colour
Topics