Operator Theory Analysis And The State Space Approach

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Operator Theory, Analysis and the State Space Approach

Harm Bart,Sanne ter Horst,André C.M. Ran,Hugo J. Woerdeman
Operator Theory Analysis and the State Space Approach Book PDF

Author : Harm Bart,Sanne ter Horst,André C.M. Ran,Hugo J. Woerdeman
Publisher : Springer
Page : 464 pages
File Size : 40,6 Mb
Release : 2018-12-30
Category : Mathematics
ISBN : 9783030042691

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Operator Theory, Analysis and the State Space Approach by Harm Bart,Sanne ter Horst,André C.M. Ran,Hugo J. Woerdeman Pdf

This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.

The State Space Method

Daniel Alpay,Israel Gohberg
The State Space Method Book PDF

Author : Daniel Alpay,Israel Gohberg
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 49,8 Mb
Release : 2006
Category : Language Arts & Disciplines
ISBN : 3764373709

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The State Space Method by Daniel Alpay,Israel Gohberg Pdf

The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics. The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations. The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.

The State Space Method

Daniel Alpay,Israel Gohberg
The State Space Method Book PDF

Author : Daniel Alpay,Israel Gohberg
Publisher : Birkhäuser
Page : 274 pages
File Size : 47,8 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 376439305X

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The State Space Method by Daniel Alpay,Israel Gohberg Pdf

Thisvolumeofthe Operator Theory: Advances and Applications series (OTAA) isthe ?rst volume of a new subseries. This subseries is dedicated to connections between the theory of linear operators and the mathematical theory of linear systems and is named Linear Operators and Linear Systems (LOLS).Asthe- isting subseries Advances in Partial Di?erential Equations (ADPE), the new s- series will continue the traditions of the OTAA series and keep the high quality of the volumes. The editors of the new subseries are: Daniel Alpay (Beer–Sheva, - rael), Joseph Ball (Blacksburg, Virginia, USA) and Andr ́ ́ e Ran (Amsterdam, The Netherlands). In the last 25–30 years, Mathematical System Theory developed in an ess- tial way. A large part of this development was connected with the use of the state space method. Let us mention for instance the “theory of H control”. The state ? space method allowed to introduce in system theory the modern tools of matrix and operator theory. On the other hand the state space approach had an imp- tant impact on Algebra, Analysis and Operator Theory. In particular it allowed to solve explicitly some problems from interpolation theory, theory of convolution equations, inverse problems for canonical di?erential equations and their discrete analogs. All these directions are planned to be present in the subseries LOLS. The editors and the publisher are inviting authors to submit their manuscripts for publication in this subseries.

Operator Theory, Functional Analysis and Applications

M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich
Operator Theory Functional Analysis and Applications Book PDF

Author : M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich
Publisher : Springer Nature
Page : 654 pages
File Size : 47,6 Mb
Release : 2021-03-31
Category : Mathematics
ISBN : 9783030519452

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Operator Theory, Functional Analysis and Applications by M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich Pdf

This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.

A State Space Approach to Canonical Factorization with Applications

Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran
A State Space Approach to Canonical Factorization with Applications Book PDF

Author : Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 43,7 Mb
Release : 2011-02-09
Category : Mathematics
ISBN : 9783764387532

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A State Space Approach to Canonical Factorization with Applications by Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran Pdf

The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.

Multivariable Operator Theory

Ernst Albrecht,Raúl Curto,Michael Hartz,Mihai Putinar
Multivariable Operator Theory Book PDF

Author : Ernst Albrecht,Raúl Curto,Michael Hartz,Mihai Putinar
Publisher : Springer Nature
Page : 893 pages
File Size : 52,7 Mb
Release : 2024-01-22
Category : Mathematics
ISBN : 9783031505355

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Multivariable Operator Theory by Ernst Albrecht,Raúl Curto,Michael Hartz,Mihai Putinar Pdf

Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Analysis in Banach Spaces

Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
Analysis in Banach Spaces Book PDF

Author : Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
Publisher : Springer
Page : 616 pages
File Size : 40,5 Mb
Release : 2018-02-14
Category : Mathematics
ISBN : 9783319698083

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Analysis in Banach Spaces by Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis Pdf

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

Modern Analysis and Applications

Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov
Modern Analysis and Applications Book PDF

Author : Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov
Publisher : Springer Science & Business Media
Page : 490 pages
File Size : 40,5 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 9783764399191

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Modern Analysis and Applications by Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov Pdf

This is the first of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.

Factorization of Matrix and Operator Functions: The State Space Method

Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran
Factorization of Matrix and Operator Functions The State Space Method Book PDF

Author : Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran
Publisher : Springer Science & Business Media
Page : 412 pages
File Size : 50,9 Mb
Release : 2007-12-20
Category : Mathematics
ISBN : 9783764382681

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Factorization of Matrix and Operator Functions: The State Space Method by Harm Bart,Israel Gohberg,Marinus A. Kaashoek,André C.M. Ran Pdf

This book delineates the various types of factorization problems for matrix and operator functions. The problems originate from, or are motivated by, the theory of non-selfadjoint operators, the theory of matrix polynomials, mathematical systems and control theory, the theory of Riccati equations, inversion of convolution operators, and the theory of job scheduling in operations research. The book presents a geometric principle of factorization which has its origins in the state space theory of linear input-output systems and in the theory of characteristic operator functions.

Operator Theory and Complex Analysis

J. K. Aggarwal
Operator Theory and Complex Analysis Book PDF

Author : J. K. Aggarwal
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 43,6 Mb
Release : 1993-01-22
Category : Computers
ISBN : 376432824X

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Operator Theory and Complex Analysis by J. K. Aggarwal Pdf

This volume presents a set of papers based on the proceedings of the NATO Advanced Research Workshop on Multisensor Fusion for Computer Vision, held in Grenoble, France, in June 1989. The workshop focused on the fusion or integration of sensor information to achieve the optimum interpretation of a scene. The papers cover a broad range of topics, including principles and issues in multisensor fusion, information fusion for navigation, multisensor fusion for object recognition, network approaches to multisensor fusion, computer architectures for multisensor fusion, and applications of multisensor fusion. The authors have documented their own research and, in so doing,have presented the state of the art in the field. Each author is a recognized leader in his or her area in the academic, governmental, or industrial research community. Several contributors present novel points of view on the integration of information. The book gives a representative picture of current progress in multisensor fusion for computer vision among the leading research groups in Europe and North America.

Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation

Manuel Cepedello Boiso,Håkan Hedenmalm,Marinus A. Kaashoek,Alfonso Montes Rodríguez,Sergei Treil
Concrete Operators Spectral Theory Operators in Harmonic Analysis and Approximation Book PDF

Author : Manuel Cepedello Boiso,Håkan Hedenmalm,Marinus A. Kaashoek,Alfonso Montes Rodríguez,Sergei Treil
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 49,8 Mb
Release : 2013-11-04
Category : Mathematics
ISBN : 9783034806480

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Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation by Manuel Cepedello Boiso,Håkan Hedenmalm,Marinus A. Kaashoek,Alfonso Montes Rodríguez,Sergei Treil Pdf

This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory.

The Diversity and Beauty of Applied Operator Theory

Albrecht Böttcher,Daniel Potts,Peter Stollmann,David Wenzel
The Diversity and Beauty of Applied Operator Theory Book PDF

Author : Albrecht Böttcher,Daniel Potts,Peter Stollmann,David Wenzel
Publisher : Springer
Page : 504 pages
File Size : 46,7 Mb
Release : 2018-04-27
Category : Mathematics
ISBN : 9783319759968

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The Diversity and Beauty of Applied Operator Theory by Albrecht Böttcher,Daniel Potts,Peter Stollmann,David Wenzel Pdf

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators, Schrödinger, Dirac, and Kortweg-de Vries operators, Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more. The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.

Operator Theory, Function Spaces, and Applications

Tanja Eisner,Birgit Jacob,André Ran,Hans Zwart
Operator Theory Function Spaces and Applications Book PDF

Author : Tanja Eisner,Birgit Jacob,André Ran,Hans Zwart
Publisher : Birkhäuser
Page : 233 pages
File Size : 47,8 Mb
Release : 2016-09-24
Category : Mathematics
ISBN : 9783319313832

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Operator Theory, Function Spaces, and Applications by Tanja Eisner,Birgit Jacob,André Ran,Hans Zwart Pdf

This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory.

Topics in Operator Theory

Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky
Topics in Operator Theory Book PDF

Author : Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 43,7 Mb
Release : 2011-02-03
Category : Mathematics
ISBN : 9783034601610

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Topics in Operator Theory by Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky Pdf

This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Operator Theory in Different Settings and Related Applications

Roland Duduchava,Marinus A. Kaashoek,Nikolai Vasilevski,Victor Vinnikov
Operator Theory in Different Settings and Related Applications Book PDF

Author : Roland Duduchava,Marinus A. Kaashoek,Nikolai Vasilevski,Victor Vinnikov
Publisher : Birkhäuser
Page : 309 pages
File Size : 55,6 Mb
Release : 2018-03-28
Category : Mathematics
ISBN : 9783319625270

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Operator Theory in Different Settings and Related Applications by Roland Duduchava,Marinus A. Kaashoek,Nikolai Vasilevski,Victor Vinnikov Pdf

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry – all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015. Moreover, the volume includes three special commemorative articles. One of them is dedicated to the memory of Leiba Rodman, another to Murray Marshall, and a third to Boris Khvedelidze, an outstanding Georgian mathematician and one of the founding fathers of the theory of singular integral equations. The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics.