Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting

Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting PDF Author: Joseph A. Ball
Publisher: American Mathematical Soc.
ISBN: 0821837680
Category : Mathematics
Languages : en
Pages : 114

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Book Description
The evolution operator for the Lax-Phillips scattering system is an isometric representation of the Cuntz algebra, while the nonnegative time axis for the conservative, linear system is the free semigroup on $d$ letters. This title presents a multivariable setting for Lax-Phillips scattering and for conservative, discrete-time, linear systems.

Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting

Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting PDF Author: Joseph A. Ball
Publisher: American Mathematical Soc.
ISBN: 0821837680
Category : Mathematics
Languages : en
Pages : 114

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Book Description
The evolution operator for the Lax-Phillips scattering system is an isometric representation of the Cuntz algebra, while the nonnegative time axis for the conservative, linear system is the free semigroup on $d$ letters. This title presents a multivariable setting for Lax-Phillips scattering and for conservative, discrete-time, linear systems.

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations

Operator Theory, Systems Theory and Scattering Theory: Multidimensional Generalizations PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 3764373032
Category : Mathematics
Languages : en
Pages : 323

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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.

Interpolation and Realization Theory with Applications to Control Theory

Interpolation and Realization Theory with Applications to Control Theory PDF Author: Vladimir Bolotnikov
Publisher: Springer
ISBN: 303011614X
Category : Mathematics
Languages : en
Pages : 390

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Book Description
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.

The State Space Method

The State Space Method PDF Author: Daniel Alpay
Publisher: Springer Science & Business Media
ISBN: 9783764373702
Category : Language Arts & Disciplines
Languages : en
Pages : 292

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Book Description
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.

Recent Advances in Operator Theory and Applications

Recent Advances in Operator Theory and Applications PDF Author: Tsuyoshi Ando
Publisher: Springer Science & Business Media
ISBN: 3764388935
Category : Mathematics
Languages : en
Pages : 249

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Book Description
Contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. This volume contains sixteen research papers which reflect developments in operator theory and applications.

Operator and Matrix Theory, Function Spaces, and Applications

Operator and Matrix Theory, Function Spaces, and Applications PDF Author: Marek Ptak
Publisher: Springer Nature
ISBN: 3031506138
Category :
Languages : en
Pages : 423

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Book Description


Operator Theory on Noncommutative Domains

Operator Theory on Noncommutative Domains PDF Author: Gelu Popescu
Publisher: American Mathematical Soc.
ISBN: 0821847104
Category : Mathematics
Languages : en
Pages : 137

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Book Description
"Volume 205, number 964 (third of 5 numbers)."

Operator Theory in Harmonic and Non-commutative Analysis

Operator Theory in Harmonic and Non-commutative Analysis PDF Author: Joseph A. Ball
Publisher: Springer
ISBN: 3319062662
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications PDF Author: J. J. Grobler
Publisher: Springer Science & Business Media
ISBN: 3034601743
Category : Mathematics
Languages : en
Pages : 301

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Book Description
This volume contains the proceedings of the eighteenth International Workshop on Operator Theory and Applications (IWOTA), hosted by the Unit for Business Mathematics and Informatics of North-West University, Potchefstroom, South Africa from July 3 to 6, 2007. The conference (as well as these proceedings) was dedicated to Professors Joseph A. Ball and Marinus M. Kaashoek on the occasion of their 60th and 70th birthdays, respectively. This conference had a particular focus on Von Neumann algebras at the interface of operator theory with functional analysis and on applications of operator theory to differential equations.

A Panorama of Modern Operator Theory and Related Topics

A Panorama of Modern Operator Theory and Related Topics PDF Author: Harry Dym
Publisher: Springer Science & Business Media
ISBN: 3034802218
Category : Mathematics
Languages : en
Pages : 635

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Book Description
This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.