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

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Release : 2020-09-19
Genre : Mathematics
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Book Rating : 193/5 ( reviews)

Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory write by Daniel Alpay. This book was released on 2020-09-19. Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory available in PDF, EPUB and Kindle. 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).

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis

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Release : 2023-04-11
Genre : Mathematics
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Book Rating : 609/5 ( reviews)

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis write by Daniel Alpay. This book was released on 2023-04-11. Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis available in PDF, EPUB and Kindle. 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.

Noncommutative Function-Theoretic Operator Theory and Applications

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Release : 2021-12-16
Genre : Mathematics
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Book Rating : 102/5 ( reviews)

Noncommutative Function-Theoretic Operator Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncommutative Function-Theoretic Operator Theory and Applications write by Joseph A. Ball. This book was released on 2021-12-16. Noncommutative Function-Theoretic Operator Theory and Applications available in PDF, EPUB and Kindle. This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system theory ideas and reproducing kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling–Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspace form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges–Rovnyak model theory and characteristic operator function for a Hilbert space contraction operator. The chapters that follow generalize the system theory and reproducing kernel techniques to enable an extension of the ideas above to weighted Bergman space multivariable settings.

Exercises in Applied Mathematics

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Book Rating : 225/5 ( reviews)

Exercises in Applied Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Exercises in Applied Mathematics write by Daniel Alpay. This book was released on . Exercises in Applied Mathematics available in PDF, EPUB and Kindle.

Operator Theory

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Release : 2015-07-21
Genre : Mathematics
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Book Rating : 664/5 ( reviews)

Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Operator Theory write by Daniel Alpay. This book was released on 2015-07-21. Operator Theory available in PDF, EPUB and Kindle. A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor.