Operator Theory In Different Settings And Related Applications

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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 : 54,6 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.

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 : 41,8 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.

Realization and Model Reduction of Dynamical Systems

Christopher Beattie,Peter Benner,Mark Embree,Serkan Gugercin,Sanda Lefteriu
Realization and Model Reduction of Dynamical Systems Book PDF

Author : Christopher Beattie,Peter Benner,Mark Embree,Serkan Gugercin,Sanda Lefteriu
Publisher : Springer Nature
Page : 462 pages
File Size : 42,6 Mb
Release : 2022-06-09
Category : Science
ISBN : 9783030951573

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Realization and Model Reduction of Dynamical Systems by Christopher Beattie,Peter Benner,Mark Embree,Serkan Gugercin,Sanda Lefteriu Pdf

This book celebrates Professor Thanos Antoulas's 70th birthday, marking his fundamental contributions to systems and control theory, especially model reduction and, more recently, data-driven modeling and system identification. Model reduction is a prominent research topic with wide ranging scientific and engineering applications.

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

Daniel Alpay,Jussi Behrndt,Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa
Recent Developments in Operator Theory Mathematical Physics and Complex Analysis Book PDF

Author : Daniel Alpay,Jussi Behrndt,Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa
Publisher : Springer Nature
Page : 424 pages
File Size : 53,6 Mb
Release : 2023-04-11
Category : Mathematics
ISBN : 9783031214608

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Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis by Daniel Alpay,Jussi Behrndt,Fabrizio Colombo,Irene Sabadini,Daniele C. Struppa Pdf

This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.

Interpolation and Realization Theory with Applications to Control Theory

Vladimir Bolotnikov,Sanne ter Horst,André C.M. Ran,Victor Vinnikov
Interpolation and Realization Theory with Applications to Control Theory Book PDF

Author : Vladimir Bolotnikov,Sanne ter Horst,André C.M. Ran,Victor Vinnikov
Publisher : Springer
Page : 353 pages
File Size : 49,6 Mb
Release : 2019-04-08
Category : Mathematics
ISBN : 9783030116149

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Interpolation and Realization Theory with Applications to Control Theory by Vladimir Bolotnikov,Sanne ter Horst,André C.M. Ran,Victor Vinnikov Pdf

This volume is devoted to Joseph A. (Joe) Ball’s contributions to operator theory and its applications and in celebration of his seventieth birthday. Joe Ball’s career spans over four and a half decades, starting with his work on model theory and related topics for non-contractions and operators on multiply connected domains. Later on, more applied operator theory themes appeared in his work, involving factorization and interpolation for operator-valued functions, with extensive applications in system and control theory. He has worked on nonlinear control, time-varying systems and, more recently, on multidimensional systems and noncommutative H∞-theory on the unit ball and polydisk, and more general domains, and these are only the main themes in his vast oeuvre. Fourteen research papers constitute the core of this volume, written by mathematicians who have collaborated with Joe or have been influenced by his vast mathematical work. A curriculum vitae, a publications list and a list of Joe Ball’s PhD students are included in this volume, as well as personal reminiscences by colleagues and friends. Contributions by Yu. M. Arlinskii, S. Hassi, M. Augat, J. W. Helton, I. Klep, S. McCullough, S. Balasubramanian, U. Wijesooriya, N. Cohen, Q. Fang, S. Gorai, J. Sarkar, G. J. Groenewald, S. ter Horst, J. Jaftha, A. C. M. Ran, M.A. Kaashoek, F. van Schagen, A. Kheifets, Z. A. Lykova, N. J. Young, A. E. Ajibo, R. T. W. Martin, A. Ramanantoanina, M.-J. Y. Ou, H. J. Woerdeman, A. van der Schaft, A. Tannenbaum, T. T. Georgiou, J. O. Deasy and L. Norton.

Lectures on Analytic Function Spaces and their Applications

Javad Mashreghi
Lectures on Analytic Function Spaces and their Applications Book PDF

Author : Javad Mashreghi
Publisher : Springer Nature
Page : 426 pages
File Size : 46,7 Mb
Release : 2023-11-14
Category : Mathematics
ISBN : 9783031335723

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Lectures on Analytic Function Spaces and their Applications by Javad Mashreghi Pdf

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They have essential applications in other fields of mathematics and engineering. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins—the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b)—have also garnered attention in recent decades. Leading experts on function spaces gathered and discussed new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With over 250 hours of lectures by prominent mathematicians, the program spanned a wide variety of topics. More explicitly, there were courses and workshops on Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Blaschke Products and Inner Functions, and Convergence of Scattering Data and Non-linear Fourier Transform, among others. At the end of each week, there was a high-profile colloquium talk on the current topic. The program also contained two advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. This volume features the courses given on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Semigroups of weighted composition operators on spaces of holomorphic functions, the Corona Problem, Non-commutative Function Theory, and Drury-Arveson Space. This volume is a valuable resource for researchers interested in analytic function spaces.

Noncommutative Function-Theoretic Operator Theory and Applications

Joseph A. Ball,Vladimir Bolotnikov
Noncommutative Function Theoretic Operator Theory and Applications Book PDF

Author : Joseph A. Ball,Vladimir Bolotnikov
Publisher : Cambridge University Press
Page : 439 pages
File Size : 52,6 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9781316518991

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Noncommutative Function-Theoretic Operator Theory and Applications by Joseph A. Ball,Vladimir Bolotnikov Pdf

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory

Daniel Alpay,Bernd Fritzsche,Bernd Kirstein
Complex Function Theory Operator Theory Schur Analysis and Systems Theory Book PDF

Author : Daniel Alpay,Bernd Fritzsche,Bernd Kirstein
Publisher : Springer Nature
Page : 578 pages
File Size : 43,5 Mb
Release : 2020-09-19
Category : Mathematics
ISBN : 9783030448196

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Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory by Daniel Alpay,Bernd Fritzsche,Bernd Kirstein Pdf

This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today. Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).

Differential Operators and Related Topics

V. M. Adami͡an
Differential Operators and Related Topics Book PDF

Author : V. M. Adami͡an
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 43,8 Mb
Release : 2000
Category : Mathematics
ISBN : 3764362871

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Differential Operators and Related Topics by V. M. Adami͡an Pdf

About the Mark Krein International Conference.- Mark Grigorevich Krein (A short biography).- The Seminar on Ship Hydrodynamics, Organized by M.G. Krein.- Review Papers: The Works of M.G. Krein on Eigenfunction Expansion for Selfadjoint Operators and their Applications and Development.- M.G. Krein and the Extension Theory of Symmetric Operators. Theory of Entire Operators.- Works by M.G. Krein on Inverse Problems.- Research Papers: The Spectrum of Periodic Point Perturbations and the Krein Resolvent Formula.- The Periodic Choquard Equation.- On the Best Constant in a Poincare-Sobolev Inequality.- On Solutions of Parabolic Equations from Families of Banach Spaces Dependent on Time.- Canonical Systems on the Line with Rational Spectral Densities: Explicit Formulas.- Oscillations in Systems with Periodic Coefficients and Sector-restricted Nonlinearities.- Differential Operator Matrices of Mixed Order with Periodic Coefficients.- Asymptotics of Generalized Eigenvectors for Unbounded Jacobi Matrices with Power-like Weights, Pauli Matrices Commutation Relations and Cesaro Averaging.- Functional Means, Convolution Operators and Semigroups.- The Inverse Spectral Problem for First Order Systems on the Half Line.- Exact Solution of the Marchenko Equation Relevant to Inverse Scattering on the Line.- An Arbitrary Oriented Crack in the Box Shell.- Homogeneity of a String having Three Unperturbed Spectra.- On the Integro-differential Equation of a Torsion of an Elastic Medium Including a Cylindrical Crack.- Green's Formula and Theorems on Isomorphisms for General Elliptic Problems for Douglis-Nirenberg Elliptic Systems.- Sobolev's Problem in Complete Scale of Banach Spaces.- On the Simple Waves with Profiles in the Form of some Special Functions-Chebyshov-Hermite, Mathiev, Whittaker-in Two-phase Media.- Inverse Spectral Problem Related to the N-wave Equation.- Degenerated Hyperbolic Approximations of the Wave Theory of Elastic Plates.- Elliptic Problems with a Shift in Complete Scales of Sobolev-type Spaces.- On the Extremal Regularization of the Variational Inequalities with Multivalued Operators.- Poly-Fock Spaces.- Diffraction of Longitudinal Shear Waves by a Hollow Thick Circular Cylinder which is Situated in the Elastic Halfspace.- On M.G. Krein's Spectral Shift Function for Canonical Systems of Differential Equations.- Table of Contents of Volume II.

Operator Analysis

Jim Agler,John Edward McCarthy,Nicholas John Young
Operator Analysis Book PDF

Author : Jim Agler,John Edward McCarthy,Nicholas John Young
Publisher : Cambridge University Press
Page : 393 pages
File Size : 48,5 Mb
Release : 2020-03-26
Category : Mathematics
ISBN : 9781108485449

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Operator Analysis by Jim Agler,John Edward McCarthy,Nicholas John Young Pdf

This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.

Current Trends In Operator Theory And Its Applications

Joseph A. Ball
Current Trends In Operator Theory And Its Applications Book PDF

Author : Joseph A. Ball
Publisher : Springer Science & Business Media
Page : 624 pages
File Size : 42,5 Mb
Release : 2004-05-25
Category : Computers
ISBN : 376437067X

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Current Trends In Operator Theory And Its Applications by Joseph A. Ball Pdf

Many developments on the cutting edge of research in operator theory and its applications, and related areas of mathematics, are reflected in this collection of original and review articles. Particular emphasis lies on the applications of operator theory to basic problems in distributed parameter systems, mathematical physics, wavelets, and numerical analysis. Review articles include a report on recent achievements and future directions of research in the area of operator theory and its diverse applications. The intended audience is researchers and graduate students in mathematics, physics, and electrical engineering.

Operator Theory and Its Applications

Alexander G. Ramm,P. N. Shivakumar,Abraham Vilgelmovich Strauss
Operator Theory and Its Applications Book PDF

Author : Alexander G. Ramm,P. N. Shivakumar,Abraham Vilgelmovich Strauss
Publisher : American Mathematical Soc.
Page : 594 pages
File Size : 42,5 Mb
Release : 2000
Category : Operator theory
ISBN : 9780821819906

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Operator Theory and Its Applications by Alexander G. Ramm,P. N. Shivakumar,Abraham Vilgelmovich Strauss Pdf

Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas."--BOOK JACKET.

Differential Operators and Related Topics

V.M. Adamyan,Israel Gohberg,Myroslav L. Gorbachuk,Valentina I. Gorbachuka,Marinus A. Kaashoek,G. Popov,H. Langer
Differential Operators and Related Topics Book PDF

Author : V.M. Adamyan,Israel Gohberg,Myroslav L. Gorbachuk,Valentina I. Gorbachuka,Marinus A. Kaashoek,G. Popov,H. Langer
Publisher : Birkhäuser
Page : 418 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884037

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Differential Operators and Related Topics by V.M. Adamyan,Israel Gohberg,Myroslav L. Gorbachuk,Valentina I. Gorbachuka,Marinus A. Kaashoek,G. Popov,H. Langer Pdf

The present book is the first of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The confer encefocused onthemain ideas, methods, results, andachievementsofM.G. Krein. This first volume is devoted to the theory of differential operators and related topics. It opens with a description of the conference, biographical material and a number of survey papers about the work of M.G. Krein. The main part of the book consists oforiginal research papers presenting the stateofthe art in the area ofdifferential operators. The second volume of these proceedings, entitled Operator Theory and related Topics, concerns the other aspects of the conference. The two volumes will be of interest to a wide-range of readership in pure and applied mathematics, physics and engineering sciences. Table of Contents Preface............................................................. v Table of Contents VII Picture of M.G. Krein Xl About the Mark Krein International Conference . Mark Grigorevich Krein (A short biography) 5 I. Gohberg The Seminar on Ship Hydrodynamics, Organized by M.G. Krein 9 v.G. Sizov Review Papers: The Works ofM.G. Krein on Eigenfunction Expansion for Selfadjoint Operators and their Applications and Development 21 Yu.M. Berezansky M.G. Krein and the Extension Theory of Symmetric Operators.

Lectures on Operator Theory and Its Applications

Albrecht Böttcher,Peter Lancaster
Lectures on Operator Theory and Its Applications Book PDF

Author : Albrecht Böttcher,Peter Lancaster
Publisher : American Mathematical Soc.
Page : 356 pages
File Size : 50,7 Mb
Release : 2024-06-25
Category : Mathematics
ISBN : 0821871862

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Lectures on Operator Theory and Its Applications by Albrecht Böttcher,Peter Lancaster Pdf

This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Insitute in 1994.

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 : 49,6 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.