WorldCat Identities

Rovnyak, James

Overview
Works: 29 works in 129 publications in 2 languages and 1,886 library holdings
Genres: Conference papers and proceedings 
Roles: Editor, Contributor
Classifications: QA331, 515.724
Publication Timeline
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Most widely held works by James Rovnyak
Square summable power series by Louis De Branges( Book )

18 editions published between 1966 and 2015 in English and Undetermined and held by 555 WorldCat member libraries worldwide

This text for advanced undergraduate and graduate students introduces Hilbert space and analytic function theory, which is centered around the invariant subspace concept. The book's principal feature is the extensive use of formal power series methods to obtain and sometimes reformulate results of analytic function theory. The presentation is elementary in that it requires little previous knowledge of analysis, but it is designed to lead students to an advanced level of performance. This is achieved chiefly through the use of problems, many of which were proposed by former students. The book's tried-and-true approach was developed from the authors' lecture notes on courses taught at Lafayette College, Bryn Mawr College, and Purdue University
Hardy classes and operator theory by Marvin Rosenblum( Book )

23 editions published between 1985 and 2009 in English and held by 447 WorldCat member libraries worldwide

Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more
Topics in Hardy classes and univalent functions by Marvin Rosenblum( Book )

13 editions published in 1994 in English and held by 339 WorldCat member libraries worldwide

This book treats classical and contemporary topics in function theory and is accessible after a one-year course in real and complex analysis. It can be used as a text for topics courses or read independently by graduate students and researchers in function theory, operator theory, and applied areas. The first six chapters supplement the authors' book, "Hardy Classes and Operator Theory". The theory of harmonic majorants for subharmonic functions is used to introduce Hardy-Orlicz classes, which are specialized to standard Hardy classes on the unit disk. The theorem of Szegö-Solomentsev characertizes boundary behavior. Half-plane function theory receives equal treatment and features the theorem of Flett and Kuran on existence of harmonic majorants and applications of the Phragmén-Lindelöf principle. The last three chapters contain an introduction to univalent functions, leading to a self-contained account of Loewner's differential equation and de Branges' proof of the Milin conjecture
Topics in operator theory : Ernst D. Hellinger memorial volume( Book )

10 editions published in 1990 in English and Undetermined and held by 203 WorldCat member libraries worldwide

Recent advances in operator theory and applications by I Gohberg( )

3 editions published in 2009 in English and held by 63 WorldCat member libraries worldwide

This volume 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. The special interest areas of this workshop were Hilbert/Krein space operator theory, complex function theory related to Hilbert space operators, and systems theory related to Hilbert space operators. This volume contains sixteen research papers which reflect recent developments in operator theory and applications
Spectral theory in inner product spaces and applications : 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, Berlin, December 2006 by I Gohberg( )

3 editions published in 2009 in English and held by 50 WorldCat member libraries worldwide

This book contains a collection of recent research papers originating from the 6th Workshop on Operator Theory in Krein Spaces and Operator Polynomials, which was held at the TU Berlin, Germany, December 14 to 17, 2006. The contributions in this volume are devoted to spectral and perturbation theory of linear operators in spaces with an inner product, generalized Nevanlinna functions and problems and applications in the field of differential equations. Among the discussed topics are linear relations, singular perturbations, de Branges spaces, nonnegative matrices and abstract kinetic equations
Recent advances in operator theory and its applications : the Israel Gohberg anniversary volume : International Workshop on Operator Theory and its Applications, IWOTA 2003, Cagliari, Italy by I Gohberg( )

7 editions published in 2005 in English and held by 34 WorldCat member libraries worldwide

Thisvolumecontainsaselectionofpapersinmodernoperatortheoryanditsapp- cations. Most of them are directly related to lectures presented at the Fourteenth International Workshop on Operator Theory and its Applications (IWOTA 2003) held at the University of Cagliari, Italy, in the period of June 24-27, 2003. The workshop, which was attended by 108 mathematicians - including a number of PhD and postdoctoral students - from 22 countries, presented eight special sessions on 1) control theory, 2) interpolation theory, 3) inverse scattering, 4) numerical estimates for operators, 5) numerical treatment of integral equations, 6) pseudodi?erential operators, 7) realizations and transformations of analytic functions and inde?nite inner product spaces, and 8) structured matrices. The program consisted of 19 plenary lectures of 45 minutes and 78 lectures of 30 minutes in four parallel sessions. The present volume re?ects the wide range and rich variety of topics p- sentedanddiscussedattheworkshop,bothwithinandoutsidethespecialsessions. The papers deal with inverse scattering, numerical ranges, pseudodi?erential - erators, numerical analysis, interpolation theory, multidimensional system theory, inde?nite inner products, spectral factorization, and stationary processes. SinceintheperiodthattheproceedingsofIWOTA2003werebeingprepared, Israel Gohberg, the president of the IWOTA steering committee, reached the age of 75, we decided to dedicate these proceedings to Israel Gohberg on the occasion of his 75th birthday. All of the authors of these proceedingshavejoined the editors and dedicated their papers to him as well
Methods of spectral analysis in mathematical physics : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, Sweden by I Gohberg( )

3 editions published in 2009 in English and held by 32 WorldCat member libraries worldwide

This volume contains mainly the lectures delivered by the participants of the International Conference: Operator Theory, Analysis and Mathematical Physics - OTAMP2006, held in Lund. As in the previous conferences of the OTAMP series, the main lectures presented an overview of current research which uses operator methods in analysis and mathematical physics. The topics of the Proceedings belong to various di?erent?elds of mathem- ical physics. Among others (but there is much more in this volume) the following subjects are presented: inverse spectral and scattering problems on graphs, review articles on quadratic Hamiltonians and Born-Oppenheimer approximations, - cursive construction of the Ablowitz-Ladik Hierarchy, spectral properties of?nite di?erence and one (or two) dimensional Schro ·dinger operators, eigenvalues and their estimates for Jacobi matrices and Aharonov-Bohm operator. Most papers of the volume contain original material and were refereed by acknowledged experts. The Editors thank all the referees whose job helped to improve the clarity of the collected material. The Organizing Committee of the conference also thanks all session organizers for the interesting choice of the s- enti?c programme and to all participants who delivered?ne lectures. We greatly appreciate?nancial support of the ESF programme SPECT, without whose- nancial support the OTAMP2006 would never been so well organized. Special thanks go to other agenciessupportedthe conference?nancially:Vetenskapsr? adet, Wenner-Gren Foundation, as well as to Lund University and to the Institute of Mathematics of the Polish Academy of Sciences
Recent Advances in Matrix and Operator Theory by Joseph A Ball( )

9 editions published in 2008 in English and held by 31 WorldCat member libraries worldwide

This book expands the lectures given at IWOTA'05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 24-27, 2005. Many developments on the cutting edge of research in operator theory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A number of papers are devoted to the analysis and algorithms for matrices with quasiseparable structure which is an active area of concurrent research in numerical linear algebra
New developments in pseudo-differential operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007 by I Gohberg( )

3 editions published in 2009 in English and Undetermined and held by 26 WorldCat member libraries worldwide

This volume consists of seventeen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at the Middle East Technical University in Ankara, Turkey on August 13-18, 2007, and invited papers by experts in the field. Included in this volume are such topics as analysis and partial differential equations related to the Heisenberg group; global analysis and pseudo-differential analysis on non-compact manifolds and manifolds with singularities; Fourier integral operators and Colombeau algebras with applications to partial differential equations; exotic pseudo-differential operators and regularity results on quasi-elliptic operators and hypoelliptic operators; Stockwell transforms in time-frequency analysis; and pseudo-differential operators on Lie groups with related results to sampling. This volume is a useful complement to the volumes "Advances in Pseudo-Differential Operators", "Pseudo-Differential Operators and Related Topics" and "Modern Trends in Pseudo-Differential Operators" published in the same series in, respectively, 2004, 2006 and 2007
Exponentially dichotomous operators and applications by C. V. M. van der Mee( )

4 editions published in 2008 in English and held by 24 WorldCat member libraries worldwide

"In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type." "The book is geared towards researchers and graduate students in (applied) functional analysis and mathematical systems theory."--Jacket
Nonlinear parabolic-hyperbolic coupled systems and their attractors by Yuming Qin( )

1 edition published in 2008 in English and held by 21 WorldCat member libraries worldwide

This book presents recent results concerning the global existence in time, the large-time behaviour, decays of solutions and the existence of global attractors for some nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations arising from physics, mechanics and material science, such as the compressible Navier-Stokes equations, thermo(visco)elastic systems and elastic systems. To keep the book as self-contained as possible, the first chapter introduces to the needed results and tools from functional analysis, Sobolev spaces, differential and integral inequa
Schur functions, operator colligations, and reproducing kernel Pontryagin spaces by Daniel Alpay( )

7 editions published in 1997 in English and held by 13 WorldCat member libraries worldwide

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
Commutative algebras of Toeplitz operators on the Bergman space by Nikolai Vasilevski( )

2 editions published in 2008 in English and held by 10 WorldCat member libraries worldwide

This book is devoted to the spectral theory of commutative C*-algebras of Toeplitz operators on the Bergman space and its applications. For each such commutative algebra there is a unitary operator which reduces Toeplitz operators from this algebra to certain multiplication operators, thus providing their spectral type representations. This yields a powerful research tool giving direct access to the majority of the important properties of the Toeplitz operators studied herein, such as boundedness, compactness, spectral properties, invariant subspaces. The presence and exploitation of these spectral type representations forms the core for many results presented in the book. Among other results it contains a criterion of when the algebras are commutative on each commonly considered weighted Bergman space together with their explicit descriptions; a systematic study of Toeplitz operators with unbounded symbols; a clarification of the difference between compactness of commutators and semi-commutators of Toeplitz operators; the theory of Toeplitz and related operators with symbols having more than two limit values at boundary points; and a kind of semi-classical analysis of spectral properties of Toeplitz operators. The book is addressed to a wide audience of mathematicians, from graduate students to researchers, whose primary interests lie in complex analysis and operator theory
Optimal domain and integral extension of operators : acting in function spaces by Susumu Okada( )

4 editions published in 2008 in English and held by 6 WorldCat member libraries worldwide

"This book treats the analysis of linear operators from a quasi-Banach function space into a Banach space. The idea is to extend the operator to its optimal domain space and to take advantage of this in analysing the original operator. Of particular interest are ideal properties such as compactness, weak compactness and complete continuity." "Since the book is directed not only at experienced researchers but also advanced research students, complete proofs are included and examples are worked out in detail. A good working knowledge of functional analysis, measure theory, operator theory and commutative harmonic analysis is assumed, whereas any new material is developed in a self-contained manners."--Jacket
Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors by Yuming Qin( )

2 editions published in 2008 in English and held by 5 WorldCat member libraries worldwide

Kreĭn spaces and applications to differential operators : 17.2. bis 23.2.1991( Book )

2 editions published in 1991 in German and held by 4 WorldCat member libraries worldwide

Tiberiu Constantinescu; Branko Najman; Daniel Alpay; Tomas Azizov; Paul A. Binding; Janos Bognar; Branko Curgus; Aad Dijksma; Michael A. Dritschel; Harry Dym; Melvin Faierman; Aurelian Gheondea; Peter Jonas; Heinz Langer; Stefania Marcantognini; Brian McEnnis; Reinhard Mennicken; Heinz-Dieter Nießen; James L. Rovnyak; Zoltan Sasvari; Dieter Schmidt; Albert Schneider; Kresimir Veselic
Methods of Spectral Analysis in Mathematical Physics Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, Sweden by I Gohberg( )

1 edition published in 2009 in English and held by 4 WorldCat member libraries worldwide

Recent advances in matrix and operator theory by International Workshop on Operator Theory and Applications( Book )

2 editions published in 2007 in English and held by 4 WorldCat member libraries worldwide

This book expands the lectures given at IWOTA???05 (International Workshop on Operator Theory and Applications) which was held at the University of Connecticut, Storrs, USA, July 24???27, 2005. Many developments on the cutting edge of research in operator theory, matrix theory, coding theory, system theory, control theory and numerical linear algebra are reflected in this collection of original articles. The volume is of a cross-disciplinary nature. A number of papers are devoted to the analysis and algorithms for matrices with quasiseparable structure which is an active area of concurrent res
Commutative Algebras of Toeplitz Operators on the Bergman Space by Nikolai Vasilevski( )

2 editions published in 2008 in English and held by 3 WorldCat member libraries worldwide

 
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Topics in Hardy classes and univalent functions
Covers
Topics in Hardy classes and univalent functionsRecent advances in operator theory and its applications : the Israel Gohberg anniversary volume : International Workshop on Operator Theory and its Applications, IWOTA 2003, Cagliari, ItalyMethods of spectral analysis in mathematical physics : Conference on Operator Theory, Analysis and Mathematical Physics (OTAMP) 2006, Lund, SwedenRecent Advances in Matrix and Operator TheoryNew developments in pseudo-differential operators : ISAAC Group in Pseudo-Differential Operators (IGPDO), Middle East Technical University, Ankara, Turkey, August 2007Exponentially dichotomous operators and applicationsSchur functions, operator colligations, and reproducing kernel Pontryagin spacesCommutative algebras of Toeplitz operators on the Bergman space
Alternative Names
Rovnyak, J.

Rovnyak, J. (James)

Languages
English (113)

German (2)