Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

New Perspectives on Approximation and Sampling Theory

Festschrift in Honor of Paul Butzer's 85th Birthday

  • Book
  • © 2014

Overview

Editors:
  1. Ahmed I. Zayed

    1. Department of Mathematical Sciences, DePaul University, Chicago, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Gerhard Schmeisser

    1. Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

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

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 EPUB and 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
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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 (19 chapters)

  1. Front Matter

    Pages i-xxii
    Download chapter PDF

  2. Abstract Exact and Approximate Sampling Theorems

    • M. M. Dodson
    Pages 1-21

  3. Sampling in Reproducing Kernel Hilbert Space

    • J. R. Higgins
    Pages 23-38

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

    • Isaac Z. Pesenson
    Pages 39-61

  5. On Window Methods in Generalized Shannon Sampling Operators

    • Andi Kivinukk, Gert Tamberg
    Pages 63-85

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

    • Carlo Bardaro, Ilaria Mantellini, Rudolf Stens, Jörg Vautz, Gianluca Vinti
    Pages 87-114

  7. Signal and System Approximation from General Measurements

    • Holger Boche, Ullrich J. Mönich
    Pages 115-148

  8. Sampling in Image Representation and Compression

    • John J. Benedetto, Alfredo Nava-Tudela
    Pages 149-188

  9. Sparse Signal Processing

    • Masoumeh Azghani, Farokh Marvasti
    Pages 189-213

  10. Signal Sampling and Testing Under Noise

    • MirosĹ‚aw Pawlak
    Pages 215-246

  11. Superoscillations

    • Paulo J. S. G. Ferreira
    Pages 247-268

  12. General Moduli of Smoothness and Approximation by Families of Linear Polynomial Operators

    • K. Runovski, H.-J. Schmeisser
    Pages 269-298

  13. Variation and Approximation in Multidimensional Setting for Mellin Integral Operators

    • Laura Angeloni, Gianluca Vinti
    Pages 299-317

  14. The Lebesgue Constant for Sinc Approximations

    • Frank Stenger, Hany A. M. El-Sharkawy, Gerd Baumann
    Pages 319-335

  15. Six (Seven) Problems in Frame Theory

    • Ole Christensen
    Pages 337-358

  16. Five Good Reasons for Complex-Valued Transforms in Image Processing

    • Brigitte Forster
    Pages 359-381

  17. Frequency Determination Using the Discrete Hermite Transform

    • Dale H. Mugler, Stuart Clary
    Pages 383-397

  18. Fractional Operators, Dirichlet Averages, and Splines

    • Peter Massopust
    Pages 399-422

  19. A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups

    • H. G. Feichtinger, W. Hörmann
    Pages 423-446

  20. On a Discrete Turán Problem for ℓ-1 Radial Functions

    • Elena E. Berdysheva, Hubert Berens
    Pages 447-468
Back to top

Keywords

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.

Editors and Affiliations

  • Department of Mathematical Sciences, DePaul University, Chicago, USA

    Ahmed I. Zayed

  • Department of Mathematics, University of Erlangen-Nuremberg, Erlangen, Germany

    Gerhard Schmeisser

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

  • DOI: https://doi.org/10.1007/978-3-319-08801-3

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-08800-6Published: 18 November 2014

  • Softcover ISBN: 978-3-319-34399-0Published: 23 August 2016

  • eBook ISBN: 978-3-319-08801-3Published: 03 November 2014

  • Series ISSN: 2296-5009

  • Series E-ISSN: 2296-5017

  • Edition Number: 1

  • Number of Pages: XXII, 472

  • Number of Illustrations: 30 b/w illustrations, 40 illustrations in colour

  • Topics: Approximations and Expansions, Special Functions, Signal, Image and Speech Processing

Publish with us

Policies and ethics

Back to top

Search

Navigation