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J Contractive Matrix Valued Functions And Related Topics


J Contractive Matrix Valued Functions And Related Topics
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J Contractive Matrix Valued Functions And Related Topics


J Contractive Matrix Valued Functions And Related Topics
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Author : Damir Z. Arov
language : en
Publisher: Cambridge University Press
Release Date : 2008-11-06

J Contractive Matrix Valued Functions And Related Topics written by Damir Z. Arov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-06 with Mathematics categories.


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.



A Panorama Of Modern Operator Theory And Related Topics


A Panorama Of Modern Operator Theory And Related Topics
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Author : Harry Dym
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-01

A Panorama Of Modern Operator Theory And Related Topics written by Harry Dym and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-01 with Mathematics categories.


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.



Nonselfadjoint Operators And Related Topics


Nonselfadjoint Operators And Related Topics
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Author : A. Feintuch
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Nonselfadjoint Operators And Related Topics written by A. Feintuch and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Our goal is to find Grabner bases for polynomials in four different sets of expressions: 1 x- , (1 - x)-1 (RESOL) X, 1 x- (1 - xy)-1 (EB) X, , y-1, (1-yx)-1 y, (1_y)-1 (1-x)-1 (preNF) (EB) plus and (1 - xy)1/2 (1 - yx )1/2 (NF) (preNF) plus and Most formulas in the theory of the Nagy-Foias operator model [NF] are polynomials in these expressions where x = T and y = T*. Complicated polynomials can often be simplified by applying "replacement rules". For example, the polynomial (1 - xy)-2 - 2xy(1-xy)-2 + xy2 (1 - xy)-2 -1 simplifies to O. This can be seen by three applications of the replacement rule (1-xy) -1 xy -t (1 - xy)-1 -1 which is true because of the definition of (1-xy)-1. A replacement rule consists of a left hand side (LHS) and a right hand side (RHS). The LHS will always be a monomial. The RHS will be a polynomial whose terms are "simpler" (in a sense to be made precise) than the LHS. An expression is reduced by repeatedly replacing any occurrence of a LHS by the corresponding RHS. The monomials will be well-ordered, so the reduction procedure will terminate after finitely many steps. Our aim is to provide a list of substitution rules for the classes of expressions above. These rules, when implemented on a computer, provide an efficient automatic simplification process. We discuss and define the ordering on monomials later.



Operator Theory Function Spaces And Applications


Operator Theory Function Spaces And Applications
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Author : Tanja Eisner
language : en
Publisher: Birkhäuser
Release Date : 2016-09-24

Operator Theory Function Spaces And Applications written by Tanja Eisner and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-24 with Mathematics categories.


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.



Advances In Structured Operator Theory And Related Areas


Advances In Structured Operator Theory And Related Areas
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Author : Marinus A. Kaashoek
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-08-30

Advances In Structured Operator Theory And Related Areas written by Marinus A. Kaashoek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-30 with Mathematics categories.


This volume is dedicated to Leonid Lerer on the occasion of his seventieth birthday. The main part presents recent results in Lerer’s research area of interest, which includes Toeplitz, Toeplitz plus Hankel, and Wiener-Hopf operators, Bezout equations, inertia type results, matrix polynomials, and related areas in operator and matrix theory. Biographical material and Lerer's list of publications complete the volume.



Variational Principles In Mathematical Physics Geometry And Economics


Variational Principles In Mathematical Physics Geometry And Economics
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Author : Alexandru Kristály
language : en
Publisher: Cambridge University Press
Release Date : 2010-08-19

Variational Principles In Mathematical Physics Geometry And Economics written by Alexandru Kristály and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-19 with Mathematics categories.


A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.



Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations


Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations
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Author : Damir Z. Arov
language : en
Publisher: Cambridge University Press
Release Date : 2012-09-13

Bitangential Direct And Inverse Problems For Systems Of Integral And Differential Equations written by Damir Z. Arov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-13 with Mathematics categories.


An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.



Noncommutative Rational Series With Applications


Noncommutative Rational Series With Applications
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Author : Jean Berstel
language : en
Publisher: Cambridge University Press
Release Date : 2011

Noncommutative Rational Series With Applications written by Jean Berstel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


A modern account of the subject and its applications. Excellent resource for those working in algebra and theoretical computer science.



Boolean Models And Methods In Mathematics Computer Science And Engineering


Boolean Models And Methods In Mathematics Computer Science And Engineering
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Author : Yves Crama
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-28

Boolean Models And Methods In Mathematics Computer Science And Engineering written by Yves Crama and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-28 with Computers categories.


A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.



Finite Precision Number Systems And Arithmetic


Finite Precision Number Systems And Arithmetic
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Author : Peter Kornerup
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-30

Finite Precision Number Systems And Arithmetic written by Peter Kornerup and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-30 with Mathematics categories.


Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.