Harmonic analysis and rational approximation : their roles in signals, control and dynamical systems /

Harmonic analysis and rational approximation : their roles in signals, control and dynamical systems /

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Bibliographic Details
Imprint:	Berlin : Springer, 2006.
Description:	1 online resource (xxii, 311 pages) : illustrations.
Language:	English
Series:	Lecture notes in control and information sciences ; 327 Lecture notes in control and information sciences ; 327.
Subject:	Harmonic analysis. Approximation theory. Approximation theory. Harmonic analysis.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11068861

Hidden Bibliographic Details
Other authors / contributors:	Fournier, Jean-Daniel, 1951-
ISBN:	9783540331674 3540331670 3540309225 9783540309222
Notes:	Includes bibliographical references. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
Summary:	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.
Other form:	Print version: Harmonic analysis and rational approximation. Berlin : Springer, 2006 3540309225 9783540309222

Table of Contents:

Introduction
Complex Analysis, Fourier Transform and Asymptotic Behaviours
Interpolation and Approximation
The Role of Chance
Signal and Control Theory
Dynamical Systems Theory
Modern Experiments in Classical Physics: Information and Control.