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Operator Theory and Related Topics
The present book is the second of the two volume Proceedings of the Mark Krein International Conference on Operator Theory and Applications. This conference, which was dedicated to the 90th Anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine from 18-22 August, 1997. The conference focused on the main ideas, methods, results, and achievements of M. G. Krein. This second volume is devoted to operator theory and related topics. It opens with the bibliography of M. G. Krein and a number of survey papers about his work. The main part of the book consists of original research papers presenting the state of the art in operator theory and its applications. The first vo...
Multivariate Prediction, de Branges Spaces, and Related Extension and Inverse Problems
This monograph deals primarily with the prediction of vector valued stochastic processes that are either weakly stationary, or have weakly stationary increments, from finite segments of their past. The main focus is on the analytic counterpart of these problems, which amounts to computing projections onto subspaces of a Hilbert space of p x 1 vector valued functions with an inner product that is defined in terms of the p x p matrix valued spectral density of the process. The strategy is to identify these subspaces as vector valued de Branges spaces and then to express projections in terms of the reproducing kernels of these spaces and/or in terms of a generalized Fourier transform that is ob...
M.G. Krein’s Lectures on Entire Operators
This book is devoted to the theory of entire Hermitian operators, an important branch of functional analysis harmoniously combining the methods of operator theory and the theory of analytic functions. This theory anables various problems of classical and modern analysis to be looked at from a uniform point of view. In addition, it serves as a source for setting and solving many new problems in both theories. The three chapters of the book are based on the notes written by his students of M. G. Krein's lectures on the theory of entire operators with (1,1) deficiency index which he delivered in 1961 at the Pedagogical Institute of Odessa, and on his works on the extension theory of Hermitian o...
Mathematical Reviews
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Systems and Networks
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Systems and Networks, Systems and Networks: Mathematical Theory and Applications
The Symposium of the Mathematical Theory of Networks and Systems, MTNS, is an international event which is held biannually since 1973. MTNS '93 was the tenth meeting and the first one organized in Germany. It took place in Regensburg in August 1993. The symposia focus attention on the mathematical foundations of systems, control and circuit theory, signal processing, and their applications - areas which are of vital interest for mathematicians and engineers. The successful interaction between advanced mathematical methods and engineering problems is continuing to create an impressive body of theories and new results. The first volume contains the key invited lectures presented at MTNS '93. The contributions are written by outstanding researchers working in the areas of the symposium. They describe new developments in the theory and its applications presenting major new advances in linear and nonlinear control, operator theoretic methods, as well as modelling issues.
XIth International Congress of Mathematical Physics
Over 1000 mathematicians participated in the Paris International Conference on Mathematical Physics and its satellite conference on topology, strings and integrable models. This volume contains some of the highlights, including topics such as conformable field theory and general relativity.
