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Author: I. Gohberg Publisher: Birkhäuser ISBN: 3034885326 Category : Mathematics Languages : en Pages : 241
Book Description
A collection of papers on different aspects of operator theory and complex analysis, covering the recent achievements of the Odessa-Kharkov school, where Potapov was very active. The book appeals to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars.
Author: I. Gohberg Publisher: Birkhäuser ISBN: 3034885326 Category : Mathematics Languages : en Pages : 241
Book Description
A collection of papers on different aspects of operator theory and complex analysis, covering the recent achievements of the Odessa-Kharkov school, where Potapov was very active. The book appeals to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars.
Author: Michael Gil Publisher: CRC Press ISBN: 9780824796099 Category : Mathematics Languages : en Pages : 376
Book Description
Intended for specialists in functional analysis and stability theory, this work presents a systematic exposition of estimations for norms of operator-valued functions, and applies the estimates to spectrum perturbations of linear operators and stability theory. The author demonstrates his own approach to spectrum perturbations.
Author: Joseph Ball Publisher: Birkhäuser ISBN: 3034877099 Category : Science Languages : en Pages : 616
Book Description
This book aims to present the theory of interpolation for rational matrix functions as a recently matured independent mathematical subject with its own problems, methods and applications. The authors decided to start working on this book during the regional CBMS conference in Lincoln, Nebraska organized by F. Gilfeather and D. Larson. The principal lecturer, J. William Helton, presented ten lectures on operator and systems theory and the interplay between them. The conference was very stimulating and helped us to decide that the time was ripe for a book on interpolation for matrix valued functions (both rational and non-rational). When the work started and the first partial draft of the book was ready it became clear that the topic is vast and that the rational case by itself with its applications is already enough material for an interesting book. In the process of writing the book, methods for the rational case were developed and refined. As a result we are now able to present the rational case as an independent theory. After two years a major part of the first draft was prepared. Then a long period of revising the original draft and introducing recently acquired results and methods followed. There followed a period of polishing and of 25 chapters and the appendix commuting at various times somewhere between Williamsburg, Blacksburg, Tel Aviv, College Park and Amsterdam (sometimes with one or two of the authors).
Author: Damir Z. Arov Publisher: Cambridge University Press ISBN: 0521883008 Category : Mathematics Languages : en Pages : 576
Book Description
A comprehensive introduction to the theory of J-contractive and J-inner matrix valued functions with respect to the open upper half-plane and a number of applications of this theory. It will be of particular interest to those with an interest in operator theory and matrix analysis.
Author: Lawrence Horwitz Publisher: Springer Nature ISBN: 3030315703 Category : Science Languages : en Pages : 229
Book Description
This book focuses on unstable systems both from the classical and the quantum mechanical points of view and studies the relations between them. The first part deals with quantum systems. Here the main generally used methods today, such as the Gamow approach, and the Wigner-Weisskopf method, are critically discussed. The quantum mechanical Lax-Phillips theory developed by the authors, based on the dilation theory of Nagy and Foias and its more general extension to approximate semigroup evolution is explained. The second part provides a description of approaches to classical stability analysis and introduces geometrical methods recently developed by the authors, which are shown to be highly effective in diagnosing instability and, in many cases, chaotic behavior. It is then shown that, in the framework of the theory of symplectic manifolds, there is a systematic algorithm for the construction of a canonical transformation of any standard potential model Hamiltonian to geometric form, making accessible powerful geometric methods for stability analysis in a wide range of applications.
Author: Don H. Tucker Publisher: Academic Press ISBN: 1483261026 Category : Mathematics Languages : en Pages : 475
Book Description
Vector and Operator Valued Measures and Applications is a collection of papers presented at the Symposium on Vector and Operator Valued Measures and Applications held in Alta, Utah, on August 7-12, 1972. The symposium provided a forum for discussing vector and operator valued measures and their applications to various areas such as stochastic integration, electrical engineering, control theory, and scattering theory. Comprised of 37 chapters, this volume begins by presenting two remarks related to the result due to Kolmogorov: the first is a theorem holding for nonnegative definite functions from T X T to C (where T is an arbitrary index set), and the second applies to separable Hausdorff spaces T, continuous nonnegative definite functions ? from T X T to C, and separable Hilbert spaces H. The reader is then introduced to the extremal structure of the range of a controlled vector measure ? with values in a Hausdorff locally convex space X over the field of reals; how the theory of vector measures is connected with the theory of compact and weakly compact mappings on certain function spaces; and Daniell and Daniell-Bochner type integrals. Subsequent chapters focus on the disintegration of measures and lifting; products of spectral measures; and mean convergence of martingales of Pettis integrable functions. This book should be of considerable use to workers in the field of mathematics.
Author: V. P. Ščestopalov Publisher: VSP ISBN: 9789067642156 Category : Science Languages : en Pages : 234
Book Description
The developments in physics, biology and astronomy, as well as radar and communication technology, remote sensing and spectroscopy have led to a sharp increase in the investigations of electromagnetic millimeter and submillimeter waves with the lengths 10--1 and 1--0.1 mm. These volumes reflect the results of extensive research in this field and attempt to destroy stereotypes established during the long years of large-scale modeling in the millimeter and submillimeter wavelength ranges and to develop new concepts. The first volume (Open Structures) deals with the results of theoretical and experimental studies of open electrodynamic structures (open waveguides, open resonators, diffractional gratings) allowing the determination of the characteristics of various devices used in millimeter and submillimeter technology. The second volume (Sources. Element Base. Radio Systems: Novel Scientific Trends) presents the problems of creating independent units and radiosystems of the millimeter and submillimeter wavelength ranges and the justification of their physical operating principles. This includes the mechanism of generating volume waves by electron flows moving close to a grating, excitation of fields in open resonators and waveguides with inclusion, and other phenomena.
Author: Daniel Alpay Publisher: Springer Science & Business Media ISBN: 3764373032 Category : Mathematics Languages : en Pages : 323
Book Description
This volume contains a selection of papers, from experts in the area, on multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. Operator Theory, Systems Theory and Scattering Theory will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.
Author: I. Gohberg
Author: I. Gohberg
Author: H. Baumgärtel
Author: Michael Gil
Author: Joseph Ball
Author: Damir Z. Arov
Author: Lawrence Horwitz
Author: Don H. Tucker
Author: V. P. Ščestopalov
Author: H. Bart
Author: Daniel Alpay