Harmonic Analysis and Rational Approximation

Their Rôles in Signals, Control and Dynamical Systems
Erscheinungsjahr 2006
ISBN: 978-3-540-30922-2
Verlag: Springer

Buch, Englisch, Band 327, 311 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1050 g

Reihe: Lecture Notes in Control and Information Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Fournier, Jean-Daniel

Grimm, Jose

Leblond, Juliette

Partington, Jonathan R.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Technik Allgemein Mess- und Automatisierungstechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik EDV | Informatik Daten / Datenbanken Informationstheorie, Kodierungstheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.