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Sampling: Theory and Applications

A Centennial Celebration of Claude Shannon

Birkhäuser
  • Showcases state-of-the-art advances and trends in sampling theory and its related areas of application
  • Commemorates Claude Shannon’s 100th birthday by highlighting his pioneering work in sampling theory
  • Builds on talks given at the 2015 Sampling Theory and Applications (SampTA) conference

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xvii
  2. Claude Shannon: American Genius

    • J. Rowland Higgins
    Pages 1-7
  3. Reconstruction of Signals: Uniqueness and Stable Sampling

    • Alexander Olevskii, Alexander Ulanovskii
    Pages 9-49
  4. Sampling Theory in a Fourier Algebra Setting

    • M. Maurice Dodson, J. Rowland Higgins
    Pages 51-91
  5. Prolate Shift Frames and Sampling of Bandlimited Functions

    • Jeffrey A. Hogan, Joseph D. Lakey
    Pages 141-167
  6. Back Matter

    Pages 193-197

About this book

The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights Shannon’s profound influence on the field. The topics covered include both theory and applications, such as:


• Compressed sensing
• Non-uniform and wave sampling
• A-to-D conversion
• Finite rate of innovation
• Time-frequency analysis
• Operator theory
• Mobile sampling issues


Sampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.

Editors and Affiliations

  • Department of Mathematics and Statistics, American University, Washington, DC, USA

    Stephen D. Casey, Michael Robinson

  • Norbert Wiener Center, University of Maryland, College Park, USA

    Kasso A. Okoudjou

  • Army Research Laboratory, Adelphi, USA

    Brian M. Sadler

Bibliographic Information

  • Book Title: Sampling: Theory and Applications

  • Book Subtitle: A Centennial Celebration of Claude Shannon

  • Editors: Stephen D. Casey, Kasso A. Okoudjou, Michael Robinson, Brian M. Sadler

  • Series Title: Applied and Numerical Harmonic Analysis

  • DOI: https://doi.org/10.1007/978-3-030-36291-1

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2020

  • Hardcover ISBN: 978-3-030-36290-4Published: 21 May 2020

  • Softcover ISBN: 978-3-030-36293-5Published: 21 May 2021

  • eBook ISBN: 978-3-030-36291-1Published: 20 May 2020

  • Series ISSN: 2296-5009

  • Series E-ISSN: 2296-5017

  • Edition Number: 1

  • Number of Pages: XVII, 197

  • Number of Illustrations: 4 b/w illustrations, 6 illustrations in colour

  • Topics: Fourier Analysis, Abstract Harmonic Analysis, Numerical Analysis, Signal, Image and Speech Processing

Buy it now

Buying options

eBook USD 44.99 USD 89.00
49% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99 USD 119.99
50% discount Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 59.99 USD 119.99
50% discount 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