New Perspectives on Approximation and Sampling Theory

Festschrift in Honor of Paul Butzer's 85th Birthday

  • Ahmed I. Zayed
  • Gerhard Schmeisser

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Andi Kivinukk, Gert Tamberg
    Pages 63-85
  3. Carlo Bardaro, Ilaria Mantellini, Rudolf Stens, Jörg Vautz, Gianluca Vinti
    Pages 87-114
  4. Holger Boche, Ullrich J. Mönich
    Pages 115-148
  5. John J. Benedetto, Alfredo Nava-Tudela
    Pages 149-188
  6. Masoumeh Azghani, Farokh Marvasti
    Pages 189-213
  7. Mirosław Pawlak
    Pages 215-246
  8. Paulo J. S. G. Ferreira
    Pages 247-268
  9. Frank Stenger, Hany A. M. El-Sharkawy, Gerd Baumann
    Pages 319-335
  10. Ole Christensen
    Pages 337-358
  11. Dale H. Mugler, Stuart Clary
    Pages 383-397
  12. Elena E. Berdysheva, Hubert Berens
    Pages 447-468
  13. Back Matter
    Pages 469-472

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.


Approximation theory Multiscale analysis Orthogonal polynomial Sampling theorems Special functions Wavelets

Editors and affiliations

  • Ahmed I. Zayed
    • 1
  • Gerhard Schmeisser
    • 2
  1. 1.Department of Mathematical SciencesDePaul UniversityChicagoUSA
  2. 2.Department of MathematicsUniversity of Erlangen-NurembergErlangenGermany

Bibliographic information