Download or read book Perturbation of Spectra in Hilbert Space written by Kurt Otto Friedrichs and published by American Mathematical Soc.. This book was released on 1965 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perturbation of Spectra in Hilbert Space written by K. O. Friedrichs and published by Amer Mathematical Society. This book was released on 1965 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Summer Seminar Boulder Colorado 1960 Perturbation of spectra in Hilbert space by K O Friedrichs written by Mark Kac and published by . This book was released on 1965 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the Summer Seminar Boulder Colorado 1960 Perturbation of spectra in Hilbert space by K O Friedrichs written by Mark Kac and published by . This book was released on 1965 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spectral Theory of Operators in Hilbert Space written by Kurt O. Friedrichs and published by Springer. This book was released on 1981-03-09 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation.
Download or read book Spectral Theory of Operators in Hilbert Space written by Kurt Otto Friedrichs and published by . This book was released on 1961 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Perturbation in Hilbert space written by Kurt O. Friedrichs and published by . This book was released on 1965 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Spectral Theory in Hilbert Space written by Gilbert Helmberg and published by Elsevier. This book was released on 2014-11-28 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Series in Applied Mathematics and Mechanics, Volume 6: Introduction to Spectral Theory in Hilbert Space focuses on the mechanics, principles, and approaches involved in spectral theory in Hilbert space. The publication first elaborates on the concept and specific geometry of Hilbert space and bounded linear operators. Discussions focus on projection and adjoint operators, bilinear forms, bounded linear mappings, isomorphisms, orthogonal subspaces, base, subspaces, finite dimensional Euclidean space, and normed linear spaces. The text then takes a look at the general theory of linear operators and spectral analysis of compact linear operators, including spectral decomposition of a compact selfadjoint operator, weakly convergent sequences, spectrum of a compact linear operator, and eigenvalues of a linear operator. The manuscript ponders on the spectral analysis of bounded linear operators and unbounded selfadjoint operators. Topics include spectral decomposition of an unbounded selfadjoint operator and bounded normal operator, functions of a unitary operator, step functions of a bounded selfadjoint operator, polynomials in a bounded operator, and order relation for bounded selfadjoint operators. The publication is a valuable source of data for mathematicians and researchers interested in spectral theory in Hilbert space.
Download or read book Spectral Theory of Operators in Hilbert Space written by Kurt O. Friedrichs and published by . This book was released on 1961 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures in Applied Mathematics Lectures in statistical mechanics by G E Uhlenbeck and G W Ford With an appendix on quantum statistics of interacting particles by E W Montroll written by Mark Kac and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on Hyponormal Operators written by Mihai Putinar and published by Birkhäuser. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present lectures are based on a course deli vered by the authors at the Uni versi ty of Bucharest, in the winter semester 1985-1986. Without aiming at completeness, the topics selected cover all the major questions concerning hyponormal operators. Our main purpose is to provide the reader with a straightforward access to an active field of research which is strongly related to the spectral and perturbation theories of Hilbert space operators, singular integral equations and scattering theory. We have in view an audience composed especially of experts in operator theory or integral equations, mathematical physicists and graduate students. The book is intended as a reference for the basic results on hyponormal operators, but has the structure of a textbook. Parts of it can also be used as a second year graduate course. As prerequisites the reader is supposed to be acquainted with the basic principles of functional analysis and operator theory as covered for instance by Reed and Simon [1]. A t several stages of preparation of the manuscript we were pleased to benefit from proper comments made by our cOlleagues: Grigore Arsene, Tiberiu Constantinescu, Raul Curto, Jan Janas, Bebe Prunaru, Florin Radulescu, Khrysztof Rudol, Konrad Schmudgen, Florian-Horia Vasilescu. We warmly thank them all. We are indebted to Professor Israel Gohberg, the editor of this series, for his constant encouragement and his valuable mathematical advice. We wish to thank Mr. Benno Zimmermann, the Mathematics Editor at Birkhauser Verlag, for cooperation and assistance during the preparation of the manuscript.
Download or read book Mathematical Problems of Relativistic Physics written by Irving Ezra Segal and published by American Mathematical Soc.. This book was released on 1963 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Adjoint Equations and Analysis of Complex Systems written by Guri I. Marchuk and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: New statements of problems arose recently demanding thorough ana lysis. Notice, first of all, the statements of problems using adjoint equations which gradually became part of our life. Adjoint equations are capable to bring fresh ideas to various problems of new technology based on linear and nonlinear processes. They became part of golden fund of science through quantum mechanics, theory of nuclear reactors, optimal control, and finally helped in solving many problems on the basis of perturbation method and sensitivity theory. To emphasize the important role of adjoint problems in science one should mention four-dimensional analysis problem and solution of inverse problems. This range of problems includes first of all problems of global climate changes on our planet, state of environment and protection of environ ment against pollution, preservation of the biosphere in conditions of vigorous growth of population, intensive development of industry, and many others. All this required complex study of large systems: interac tion between the atmosphere and oceans and continents in the theory of climate, cenoses in the biosphere affected by pollution of natural and anthropogenic origin. Problems of local and global perturbations and models sensitivity to input data join into common complex system.
Download or read book Space mathematics Part 1 written by John Barkley Rosser American Mathematical Society Cornell University and published by American Mathematical Soc.. This book was released on 1966-12-31 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Systems of Partial Differential Equations in Applied Mathematics written by Basil Nicolaenko and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: These two volumes of 47 papers focus on the increased interplay of theoretical advances in nonlinear hyperbolic systems, completely integrable systems, and evolutionary systems of nonlinear partial differential equations. The papers both survey recent results and indicate future research trends in these vital and rapidly developing branches of PDEs. The editor has grouped the papers loosely into the following five sections: integrable systems, hyperbolic systems, variational problems, evolutionary systems, and dispersive systems. However, the variety of the subjects discussed as well as their many interwoven trends demonstrate that it is through interactive advances that such rapid progress has occurred. These papers require a good background in partial differential equations. Many of the contributors are mathematical physicists, and the papers are addressed to mathematical physicists (particularly in perturbed integrable systems), as well as to PDE specialists and applied mathematicians in general.
Download or read book Methods of Intermediate Problems for Eigenvalues Theory and Ramifications written by A. Weinstein and published by Elsevier. This book was released on 1972-06-23 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Download or read book Relativity theory and astrophysics galactic structure written by Cornell University, Summer Seminar Staff and published by American Mathematical Soc.. This book was released on 1967-12-31 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
