Skip to main content
  • Book
  • © 2006

Harmonic Analysis and Rational Approximation

Their Rôles in Signals, Control and Dynamical Systems

Editors:

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 327)

Buy it now

Buying options

Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (17 chapters)

  1. Front Matter

  2. Analyticity and Physics

    • Maciej Pindor
    Pages 3-12
  3. From Analytic Functions to Divergent Power Series

    • Bernard Candelpergher
    Pages 15-37
  4. Fourier Transforms and Complex Analysis

    • Jonathan R. Partington
    Pages 39-55
  5. Padé Approximants

    • Maciej Pindor
    Pages 59-69
  6. Good Bases

    • Jonathan R. Partington
    Pages 95-102
  7. Rational Approximation and Noise

    • Maciej Pindor
    Pages 145-156
  8. Stationary Processes and Linear Systems

    • Manfred Deistler
    Pages 159-179
  9. The Laplace Transform in Control Theory

    • Martine Olivi
    Pages 193-209
  10. Identification and Function Theory

    • Laurent Baratchart
    Pages 211-230
  11. Control of Interferometric Gravitational Wave Detectors

    • François Bondu, Jean-Yves Vinet
    Pages 303-311
  12. Back Matter

About this book

This book - an outgrowth of a topical summer school - sets out to introduce non-specialists from physics and engineering to the basic mathematical concepts of approximation and Fourier theory. After a general introduction, Part II of this volume contains basic material on the complex and harmonic analysis underlying the further developments presented. Part III deals with the essentials of approximation theory while Part IV completes the foundations by a tour of probability theory. Part V reviews some major applications in signal and control theory. In Part VI mathematical aspects of dynamical systems theory are discussed. Part VII, finally, is devoted to a modern approach to two physics problems: turbulence and the control and noise analysis in gravitational waves measurements.

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access