Trace Ideals And Their Applications
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Trace Ideas Their Applications 2nd Ed
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Author : Barry Simon
language : en
Publisher: Eurospan Gxc
Release Date : 2014-05-21
Trace Ideas Their Applications 2nd Ed written by Barry Simon and has been published by Eurospan Gxc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-21 with MATHEMATICS categories.
Trace Ideals And Their Applications
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Trace Ideals And Their Applications written by Barry Simon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
From a review of the first edition: Beautifully written and well organized ... indispensable for those interested in certain areas of mathematical physics ... for the expert and beginner alike. The author deserves to be congratulated both for his work in unifying a subject and for showing workers in the field new directions for future development. --Zentralblatt MATH This is a second edition of a well-known book on the theory of trace ideals in the algebra of operators in a Hilbert space. Because of the theory's many different applications, the book was widely used and much in demand. For this second edition, the author has added four chapters on the closely related theory of rank one perturbations of self-adjoint operators. He has also included a comprehensive index and an addendum describing some developments since the original notes were published. This book continues to be a vital source of information for those interested in the theory of trace ideals and in its applications to various areas of mathematical physics.
Convex Functions And Their Applications
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Author : Constantin P. Niculescu
language : en
Publisher: Springer
Release Date : 2018-06-08
Convex Functions And Their Applications written by Constantin P. Niculescu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-08 with Mathematics categories.
Thorough introduction to an important area of mathematics Contains recent results Includes many exercises
Operator Theory And Its Applications
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Author : Alexander G. Ramm
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Operator Theory And Its Applications written by Alexander G. Ramm and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas."--BOOK JACKET.
Recent Advances In Operator Theory Operator Algebras And Their Applications
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Author : Dumitru Gaspar
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Recent Advances In Operator Theory Operator Algebras And Their Applications written by Dumitru Gaspar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.
This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.
Direct And Inverse Scattering For The Matrix Schr Dinger Equation
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Author : Tuncay Aktosun
language : en
Publisher: Springer Nature
Release Date : 2020-05-19
Direct And Inverse Scattering For The Matrix Schr Dinger Equation written by Tuncay Aktosun and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-19 with Mathematics categories.
Authored by two experts in the field who have been long-time collaborators, this monograph treats the scattering and inverse scattering problems for the matrix Schrödinger equation on the half line with the general selfadjoint boundary condition. The existence, uniqueness, construction, and characterization aspects are treated with mathematical rigor, and physical insight is provided to make the material accessible to mathematicians, physicists, engineers, and applied scientists with an interest in scattering and inverse scattering. The material presented is expected to be useful to beginners as well as experts in the field. The subject matter covered is expected to be interesting to a wide range of researchers including those working in quantum graphs and scattering on graphs. The theory presented is illustrated with various explicit examples to improve the understanding of scattering and inverse scattering problems. The monograph introduces a specific class of input data sets consisting of a potential and a boundary condition and a specific class of scattering data sets consisting of a scattering matrix and bound-state information. The important problem of the characterization is solved by establishing a one-to-one correspondence between the two aforementioned classes. The characterization result is formulated in various equivalent forms, providing insight and allowing a comparison of different techniques used to solve the inverse scattering problem. The past literature treated the type of boundary condition as a part of the scattering data used as input to recover the potential. This monograph provides a proper formulation of the inverse scattering problem where the type of boundary condition is no longer a part of the scattering data set, but rather both the potential and the type of boundary condition are recovered from the scattering data set.
Introduction To The Representation Theory Of Compact And Locally Compact Groups
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Author : Alain Robert
language : en
Publisher: Cambridge University Press
Release Date : 1983-02-10
Introduction To The Representation Theory Of Compact And Locally Compact Groups written by Alain Robert and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-02-10 with Mathematics categories.
Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.
An Introduction To The Theory Of Surreal Numbers
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Author : Harry Gonshor
language : en
Publisher: Cambridge University Press
Release Date : 1986-09-18
An Introduction To The Theory Of Surreal Numbers written by Harry Gonshor and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-09-18 with Mathematics categories.
These notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.
Orthogonal Polynomials On The Unit Circle
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Orthogonal Polynomials On The Unit Circle written by Barry Simon and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.
This two-part volume gives a comprehensive overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. A major theme involves the connections between the Verblunsky coefficients (the coefficients of the recurrence equation for the orthogonal polynomials) and the measures, an analog of the spectral theory of one-dimensional Schrödinger operators. Among the topics discussed along the way are the asymptotics of Toeplitz determinants (Szegő's theorems), limit theorems for the density of the zeros of orthogonal polynomials, matrix representations for multiplication by (CMV matrices), periodic Verblunsky coefficients from the point of view of meromorphic functions on hyperelliptic surfaces, and connections between the theories of orthogonal polynomials on the unit circle and on the real line. The book is suitable for graduate students and researchers interested in analysis.
Matrix Analysis
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Author : Rajendra Bhatia
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Matrix Analysis written by Rajendra Bhatia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
A good part of matrix theory is functional analytic in spirit. This statement can be turned around. There are many problems in operator theory, where most of the complexities and subtleties are present in the finite-dimensional case. My purpose in writing this book is to present a systematic treatment of methods that are useful in the study of such problems. This book is intended for use as a text for upper division and gradu ate courses. Courses based on parts of the material have been given by me at the Indian Statistical Institute and at the University of Toronto (in collaboration with Chandler Davis). The book should also be useful as a reference for research workers in linear algebra, operator theory, mathe matical physics and numerical analysis. A possible subtitle of this book could be Matrix Inequalities. A reader who works through the book should expect to become proficient in the art of deriving such inequalities. Other authors have compared this art to that of cutting diamonds. One first has to acquire hard tools and then learn how to use them delicately. The reader is expected to be very thoroughly familiar with basic lin ear algebra. The standard texts Finite-Dimensional Vector Spaces by P.R.