Ilya M. Spitkovsky

Joseph A. Ball

J. William Helton

Leiba Rodman

Vladimir Bolotnikov

This is the second volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Volume 2: Systems and Mathematical Physics

Topics in Operator Theory

Martin Klaus

Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Current Trends in Operator Theory and its Applications

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

Noncommutative Function-Theoretic Operator Theory and Applications

Factorization and Model Theory for Contraction Operators with Unitary Part

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Volume 1: Operators, Matrices and Analytic functions

Michael A. Dritschel

A.F.M. ter Elst

Pierre Portal

Denis Potapov

This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

23rd International Workshop in Operator Theory and its Applications, Sydney, July 2012

Operator Theory in Harmonic and Non-commutative Analysis

Volker Mehrmann

Wolfgang Arendt

Jussi Behrndt

Karl-Heinz Förster

Carsten Trunk

The present volume contains a collection of original research articles and expository contributions on recent developments in operator theory and its multifaceted applications. They cover a wide range of themes from the IWOTA 2010 conference held at the TU Berlin, Germany, including spectral theory, function spaces, mathematical system theory, evolution equations and semigroups, and differential and difference operators. The book encompasses new trends and various modern topics in operator theory, and serves as a useful source of information to mathematicians, scientists and engineers.

21st International Workshop on Operator Theory and Applications, Berlin, July 2010

Spectral Theory, Mathematical System Theory, Evolution Equations, Differential and Difference Equations

Raúl E. Curto

Sergei M. Grudsky

Raúl Quiroga-Barranco

Nikolai Vasilevski

This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful professional interactions. These Proceedings reflect the high quality of the papers presented at the conference.

Recent Progress in Operator Theory and Its Applications

Joseph A. Ball

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