Harmonic Analysis and Rational Approximation [electronic resource] : Their Rôles in Signals, Control and Dynamical Systems / edited by J. -D. Fournier, J. Grimm, J. Leblond, J. R. Partington.Material type: TextLanguage: English Series: Lecture Notes in Control and Information Science: 327Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006Description: XXII, 311p. 47 illus. Also available online. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540331674Subject(s): Engineering | Systems theory | Mathematical physics | Physics | Engineering | Control Engineering | Systems Theory, Control | Complexity | Mathematical Methods in PhysicsAdditional physical formats: Printed edition:: No titleOnline resources: Click here to access online
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.
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.