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45 produkter
45 produkter
Del 3 - International Society for Analysis, Applications and Computation
Reproducing Kernels and their Applications
Inbunden, Engelska, 1999
1 064 kr
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This work is the first contributed volume on reproducing kernels and their applications. It is made up of chapters based on presentations at the University of Delaware ISAAC Conference as well as invited contributions by leading experts. Audience: Researchers working in the field as well as scientists interested in the applications.
Del 3 - International Society for Analysis, Applications and Computation
Reproducing Kernels and their Applications
Häftad, Engelska, 2010
1 071 kr
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This work is the first contributed volume on reproducing kernels and their applications. It is made up of chapters based on presentations at the University of Delaware ISAAC Conference as well as invited contributions by leading experts. Audience: Researchers working in the field as well as scientists interested in the applications.
Del 275 - Operator Theory: Advances and Applications
Linear Systems, Signal Processing and Hypercomplex Analysis
Chapman University, November 2017
Inbunden, Engelska, 2019
1 709 kr
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This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.
Del 275 - Operator Theory: Advances and Applications
Linear Systems, Signal Processing and Hypercomplex Analysis
Chapman University, November 2017
Häftad, Engelska, 2020
1 230 kr
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This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.
592 kr
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This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels, in the unit ball of quaternions or in the half space of quaternions with positive real parts. The spaces under consideration will be Hilbert or Pontryagin or Krein spaces. These spaces are closely related to operator models that are also discussed.The focus of this book is the notion of characteristic operator function of a bounded linear operator A with finite real part, and we address several questions like the study of J-contractive functions, where J is self-adjoint and unitary, and we also treat the inverse problem, namely to characterize which J-contractive functions are characteristic operator functions of an operator. In particular, we prove the counterpart of Potapov's factorization theorem in this framework. Besides other topics, we consider canonical differential equations in the setting of slice hyperholomorphic functions and we define the lossless inverse scattering problem. We also consider the inverse scattering problem associated with canonical differential equations. These equations provide a convenient unifying framework to discuss a number of questions pertaining, for example, to inverse scattering, non-linear partial differential equations and are studied in the last section of this book.
Del 280 - Operator Theory: Advances and Applications
Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory
A Volume in Honor of V.E. Katsnelson
Inbunden, Engelska, 2020
970 kr
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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).
Del 280 - Operator Theory: Advances and Applications
Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory
A Volume in Honor of V.E. Katsnelson
Häftad, Engelska, 2021
970 kr
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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).
Del 286 - Operator Theory: Advances and Applications
New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative
Chapman University, November 2019
Inbunden, Engelska, 2021
893 kr
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The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.
Del 286 - Operator Theory: Advances and Applications
New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative
Chapman University, November 2019
Häftad, Engelska, 2022
898 kr
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The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.
Del 290 - Operator Theory: Advances and Applications
Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis
IWOTA 2021, Chapman University
Inbunden, Engelska, 2023
2 347 kr
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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.
Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis : IWOTA 2021, Chapman University
Engelska, 2023
631 kr
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Del 290 - Operator Theory: Advances and Applications
Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis
IWOTA 2021, Chapman University
Häftad, Engelska, 2024
2 347 kr
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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.
Exercises in Applied Mathematics
With a View toward Information Theory, Machine Learning, Wavelets, and Statistical Physics
Inbunden, Engelska, 2024
1 177 kr
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This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections.
Exercises in Applied Mathematics
With a View toward Information Theory, Machine Learning, Wavelets, and Statistical Physics
Häftad, Engelska, 2025
858 kr
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This text presents a collection of mathematical exercises with the aim of guiding readers to study topics in statistical physics, equilibrium thermodynamics, information theory, and their various connections.
Del 304 - Operator Theory: Advances and Applications
Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions
Inbunden, Engelska, 2024
1 709 kr
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The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. The second part is the core of the book and contains various types of functions spaces ranging from the Hardy spaces, also in the fractional case, to the Fock space extended to the case of quaternions.
- Nyhet
Schur Analysis and Applications to Hypercomplex Analysis, Neural Networks, and Linear Systems
Chapman University, January 2024
Inbunden, Engelska, 2026
2 134 kr
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This volume presents selected contributions from a conference held at Chapman University in January 2024 on Schur analysis and its applications. The papers, written by leading researchers in the field, are divided into four sections: function theory, harmonic analysis, and operator theory;
Characteristic Operator Function and Related Topics
A Tribute To Moshe Livsic
Inbunden, Engelska, 2026
2 261 kr
Kommande
This volume contains translations of six of the original papers of Moshe Livsic on the characteristic operator function, together with a collection of contributions devoted to Moshe Livsic’s theory of the characteristic operator function and its impact on the spectral analysis of non‑selfadjoint operators, a theory first introduced in the 1940s. This theory provides a framework for the spectral analysis of non-selfadjoint and non-unitary operators and has since become a cornerstone of modern operator theory. Over the past seventy‑five years, Livsic’s theory has exerted a lasting influence on analysis, complex analysis, linear systems theory, and a broad range of related topics. The volume examines how Livsic’s theory has shaped the study of pairs of commuting operators, a research direction initiated in the early 1970s with the aim of linking systems theory, non‑selfadjoint operator theory, and Riemannian geometry.The contributions collected here reflect the scope and depth of Livsic’s work at the intersection of operator theory, geometry, and systems theory. This book will be a valuable resource for researchers and advanced graduate students working in operator theory, analysis, systems theory and related areas.A number of recollections from colleagues, students and friends of Moshe Livsic are also included.
Characteristic Functions, Scattering Functions and Transfer Functions
The Moshe Livsic Memorial Volume
Inbunden, Engelska, 2009
1 071 kr
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Daniel Alpay and Victor Vinnikov During the period July 9 to July 13, 2007,a conference called Characteristic fu- tions and transfer functions in operator theory and system theory: a conference dedicated to PaulFuhrmann onhis 70thanniversary and to the memory ofMoshe Livsiconhis90thanniversarywasheldattheDepartmentofMathematicsofBen- GurionUniversityoftheNegev.Thenotionsoftransferfunctionandcharacteristic functions proved to be fundamental in the last ?fty years in operator theory and in system theory. This conference was envisaged to pay tribute to our colleagues PaulFuhrmannandMosheLivsicwhoplayedacentralroleindevelopingthese- tions. Sadly, Moshe Livsic passedawayon the 30thof March,2007(11th of Nissan 5767), so the conference was dedicated to his memory. It is a pleasure to thank all the participants, who contributed to a very exciting and fruitful conference, and especially those who submitted papers to the present volume. The volume contains a selection of thirteen research papers dedicated to the memory of Moshe Livsic. The topics addressed can be divided into the following categories: Classical operator theory and its applications: This pertains to the paper Diff- ential-di?erence equations in entire functions by G.Belitskii and V. Tkachenko, the paper Bi-Isometries and Commutant Lifting by H. Bercovici, R.G. Douglas. and C. Foias and the paper Convexity of ranges and connectedness of level sets of quadratic forms by I. Feldman, N. Krupnik and A. Markus. Ergodictheoryandstochasticprocesses: We have the papersTheone-sidedergodic Hilbert transform of normal contractions by G. Cohen and M. Lin, and Integral Equations in the Theory of Levy Processes by L. Sakhnovich. Geometryofsmoothmappings:This iscoveredbythepaper ofY.Yomdinentitled ?-Spread of sets in metric spaces and critical values of smooth functions.
Del 226 - Operator Theory: Advances and Applications
Interpolation, Schur Functions and Moment Problems II
Inbunden, Engelska, 2012
539 kr
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The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk.
Operator Theory
2015
6 279 kr
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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.
Del 226 - Operator Theory: Advances and Applications
Interpolation, Schur Functions and Moment Problems II
Häftad, Engelska, 2014
539 kr
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The origins of Schur analysis lie in a 1917 article by Issai Schur in which he constructed a numerical sequence to correspond to a holomorphic contractive function on the unit disk. These sequences are now known as Schur parameter sequences. Schur analysis has grown significantly since its beginnings in the early twentieth century and now encompasses a wide variety of problems related to several classes of holomorphic functions and their matricial generalizations. These problems include interpolation and moment problems as well as Schur parametrization of particular classes of contractive or nonnegative Hermitian block matrices. This book is primarily devoted to topics related to matrix versions of classical interpolation and moment problems. The major themes include Schur analysis of nonnegative Hermitian block Hankel matrices and the construction of Schur-type algorithms. This book also covers a number of recent developments in orthogonal rational matrix functions, matrix-valued Carathéodory functions and maximal weight solutions for particular matricial moment problems on the unit circle.
Del 143 - Operator Theory: Advances and Applications
Reproducing Kernel Spaces and Applications
Häftad, Engelska, 2012
1 071 kr
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20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien.
Del 134 - Operator Theory: Advances and Applications
Interpolation Theory, Systems Theory and Related Topics
The Harry Dym Anniversary Volume
Häftad, Engelska, 2012
1 071 kr
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This volume is based on the proceedings of the Toeplitz Lectures 1999 and of the Workshop in Operator Theory held in March 1999 at Tel-Aviv University and at the Weizmann Institute of Science. The workshop was held on the occasion of the 60th birthday of Harry Dym, and the Toeplitz lecturers were Harry Dym and Jim Rovnyak. The papers in the volume reflect Harry's influence on the field of operator theory and its applications through his insights, his writings, and his personality. The volume begins with an autobiographical sketch, followed by the list ofpublications ofHarry Dym and the paper ofIsrael Gohberg: On Joint Work with Harry Dym. The following paper by Jim Rovnyak: Methods of Krdn Space Operator The- ory, is based on his Toeplitz lectures. It gives a survey ofold and recents methods of KreIn space operator theory along with examples from function theory, espe- cially substitution operators on indefinite Dirichlet spaces and their relation to coefficient problems for univalent functions, an idea pioneered by 1. de Branges and underlying his proof of the Bieberbach conjecture (see [9]).The remaining papers (arranged in the alphabetical order) can be divided into the following categories. Schur analysis and interpolation In Notes on Interpolation in the Generalized Schur Class. I, D. Alpay, T. Con- stantinescu, A. Dijksma, and J. Rovnyak use realization theory for operator colli- gations in Pontryagin spaces to study interpolation and factorization problems in generalized Schur classes.
Del 123 - Operator Theory: Advances and Applications
Operator Theory, System Theory and Related Topics
The Moshe Livšic Anniversary Volume
Häftad, Engelska, 2012
1 602 kr
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This volume presents the refereed proceedings of the Conference in Operator The ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In stitute of Science (Rehovot, Israel). The volume contains papers in operator theory and its applications (understood in a very wide sense), many of them reflecting, 1 directly or indirectly, a profound impact of the work of Moshe Livsic. Moshe (Mikhail Samuilovich) Livsic was born on July 4, 1917, in the small town of Pokotilova near Uman, in the province of Kiev in the Ukraine; his family moved to Odessa when he was four years old. In 1933 he enrolled in the Department of Physics and Mathematics at the Odessa State University, where he became a student of M. G. Krein and an active participant in Krein's seminar - one of the centres where the ideas and methods of functional analysis and operator theory were being developed. Besides M. G. Krein, M. S. Livsic was strongly influenced B. Va. Levin, an outstanding specialist in the theory of analytic functions. A by deep understanding of operator theory as well as function theory and a penetrating search of connections between the two, were to become one of the landmarks of M. S. Livsic's work. M. S. Livsic defended his Ph. D.
Del 96 - Operator Theory: Advances and Applications
Schur Functions, Operator Colligations, and Reproducing Kernel Pontryagin Spaces
Häftad, Engelska, 2012
539 kr
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Generalized Schur functions are scalar- or operator-valued holomorphic functions such that certain associated kernels have a finite number of negative squares. This book develops the realization theory of such functions as characteristic functions of coisometric, isometric, and unitary colligations whose state spaces are reproducing kernel Pontryagin spaces. This provides a modern system theory setting for the relationship between invariant subspaces and factorization, operator models, Krein-Langer factorizations, and other topics. The book is intended for students and researchers in mathematics and engineering. An introductory chapter supplies background material, including reproducing kernel Pontryagin spaces, complementary spaces in the sense of de Branges, and a key result on defining operators as closures of linear relations. The presentation is self-contained and streamlined so that the indefinite case is handled completely parallel to the definite case.
Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis
Häftad, Engelska, 2014
539 kr
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This book provides the foundations for a rigorous theory of functional analysis with bicomplex scalars. It begins with a detailed study of bicomplex and hyperbolic numbers and then defines the notion of bicomplex modules. After introducing a number of norms and inner products on such modules (some of which appear in this volume for the first time), the authors develop the theory of linear functionals and linear operators on bicomplex modules. All of this may serve for many different developments, just like the usual functional analysis with complex scalars and in this book it serves as the foundational material for the construction and study of a bicomplex version of the well known Schur analysis.
Del 244 - Operator Theory: Advances and Applications
Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes
A Collection of Papers Dedicated to Lev Sakhnovich
Inbunden, Engelska, 2015
539 kr
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The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.
Advanced Complex Analysis Problem Book
Topological Vector Spaces, Functional Analysis, and Hilbert Spaces of Analytic Functions
Häftad, Engelska, 2015
911 kr
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This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is played by the notions of positive definite kernel and of reproducing kernel Hilbert space.
Del 252 - Operator Theory: Advances and Applications
Noncommutative Analysis, Operator Theory and Applications
Inbunden, Engelska, 2016
1 071 kr
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This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics.
Del 244 - Operator Theory: Advances and Applications
Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes
A Collection of Papers Dedicated to Lev Sakhnovich
Häftad, Engelska, 2016
539 kr
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The volume is dedicated to Lev Sakhnovich, who made fundamental contributions in operator theory and related topics. Besides bibliographic material, it includes a number of selected papers related to Lev Sakhnovich's research interests. The papers are related to operator identities, moment problems, random matrices and linear stochastic systems.