J-Contractive Matrix Valued Functions and Related Topics PDF Download
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Author: Damir Z. Arov
Publisher: Cambridge University Press
ISBN: 0521883008
Category : Mathematics
Languages : en
Pages : 576
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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: Damir Z. Arov
Publisher: Cambridge University Press
ISBN: 0521883008
Category : Mathematics
Languages : en
Pages : 576
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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: Harry Dym
Publisher: American Mathematical Soc.
ISBN: 0821807226
Category : Mathematics
Languages : en
Pages : 159
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Book Description
Presents an introduction to the theory and applications of $J$ inner matrices. This book discusses matrix interpolation problems including two-sided tangential problems of both the Nevanlinna-Pick type and the Caratheodory-Fejer type, as well as mixtures of these.
Author: Israel Gohberg
Publisher: Birkhauser
ISBN: 9780817650919
Category : Mathematics
Languages : en
Pages : 211
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Book Description
Author: Giuseppe Da Prato
Publisher: Cambridge University Press
ISBN: 1139917153
Category : Mathematics
Languages : en
Pages : 513
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Book Description
Now in its second edition, this book gives a systematic and self-contained presentation of basic results on stochastic evolution equations in infinite dimensional, typically Hilbert and Banach, spaces. In the first part the authors give a self-contained exposition of the basic properties of probability measure on separable Banach and Hilbert spaces, as required later; they assume a reasonable background in probability theory and finite dimensional stochastic processes. The second part is devoted to the existence and uniqueness of solutions of a general stochastic evolution equation, and the third concerns the qualitative properties of those solutions. Appendices gather together background results from analysis that are otherwise hard to find under one roof. This revised edition includes two brand new chapters surveying recent developments in the area and an even more comprehensive bibliography, making this book an essential and up-to-date resource for all those working in stochastic differential equations.
Author: Miguel Cabrera García
Publisher: Cambridge University Press
ISBN: 1107043069
Category : Mathematics
Languages : en
Pages : 735
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Book Description
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
Author: Charles F. Dunkl
Publisher: Cambridge University Press
ISBN: 1107071895
Category : Mathematics
Languages : en
Pages : 439
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Book Description
Updated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.
Author: Jonathan M. Borwein
Publisher: Cambridge University Press
ISBN: 1139811096
Category : Mathematics
Languages : en
Pages : 533
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Book Description
Like differentiability, convexity is a natural and powerful property of functions that plays a significant role in many areas of mathematics, both pure and applied. It ties together notions from topology, algebra, geometry and analysis, and is an important tool in optimization, mathematical programming and game theory. This book, which is the product of a collaboration of over 15 years, is unique in that it focuses on convex functions themselves, rather than on convex analysis. The authors explore the various classes and their characteristics and applications, treating convex functions in both Euclidean and Banach spaces. The book can either be read sequentially for a graduate course, or dipped into by researchers and practitioners. Each chapter contains a variety of specific examples, and over 600 exercises are included, ranging in difficulty from early graduate to research level.
Author: Rolf Schneider
Publisher: Cambridge University Press
ISBN: 1107601010
Category : Mathematics
Languages : en
Pages : 759
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Book Description
A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.
Author: Harm Bart
Publisher: Springer Science & Business Media
ISBN: 376438753X
Category : Mathematics
Languages : en
Pages : 419
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Book Description
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.
Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3030448193
Category : Mathematics
Languages : en
Pages : 578
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Book Description
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).
