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Spectral Theory Of Families Of Self Adjoint Operators
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Author :Anatolii M. Samoilenko Publisher :Springer Science & Business Media ISBN 13 :9401138060 Total Pages :308 pages Book Rating :4.4/5 (11 download)
Book Synopsis Spectral Theory of Families of Self-Adjoint Operators by : Anatolii M. Samoilenko
Download or read book Spectral Theory of Families of Self-Adjoint Operators written by Anatolii M. Samoilenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators by : John Locker
Download or read book Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators written by John Locker and published by American Mathematical Soc.. This book was released on 2000 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops the spectral theory of an nth order non-self-adjoint two- point differential operator L in the complex Hilbert space L2[0,1]. The differential operator L is determined by an nth order formal differential l and by n linearly independent boundary values B1,.,Bn. Locker first lays the foundations of the spectral theory for closed linear operators and Fredholm operators in Hilbert spaces before developing the spectral theory of the differential operator L. The book is a sequel to Functional analysis and two-point differential operators, 1986. Annotation copyrighted by Book News, Inc., Portland, OR.
Book Synopsis Spectral Theory of Random Schrödinger Operators by : R. Carmona
Download or read book Spectral Theory of Random Schrödinger Operators written by R. Carmona and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the seminal work of P. Anderson in 1958, localization in disordered systems has been the object of intense investigations. Mathematically speaking, the phenomenon can be described as follows: the self-adjoint operators which are used as Hamiltonians for these systems have a ten dency to have pure point spectrum, especially in low dimension or for large disorder. A lot of effort has been devoted to the mathematical study of the random self-adjoint operators relevant to the theory of localization for disordered systems. It is fair to say that progress has been made and that the un derstanding of the phenomenon has improved. This does not mean that the subject is closed. Indeed, the number of important problems actually solved is not larger than the number of those remaining. Let us mention some of the latter: • A proof of localization at all energies is still missing for two dimen sional systems, though it should be within reachable range. In the case of the two dimensional lattice, this problem has been approached by the investigation of a finite discrete band, but the limiting pro cedure necessary to reach the full two-dimensional lattice has never been controlled. • The smoothness properties of the density of states seem to escape all attempts in dimension larger than one. This problem is particularly serious in the continuous case where one does not even know if it is continuous.
Book Synopsis Spectral Theory of Self-Adjoint Operators in Hilbert Space by : M. S. Birman
Download or read book Spectral Theory of Self-Adjoint Operators in Hilbert Space written by M. S. Birman and published by . This book was released on 1987 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory of Self-adjoint Operators on a Hilbert Space by : Laurel B. Eichinger
Download or read book Spectral Theory of Self-adjoint Operators on a Hilbert Space written by Laurel B. Eichinger and published by . This book was released on 1992 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Spectral Theory by : Andrei Giniatoulline
Download or read book An Introduction to Spectral Theory written by Andrei Giniatoulline and published by R.T. Edwards, Inc.. This book was released on 2005 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief and accessible introduction to the spectral theory of linear second order elliptic differential operators. By introducing vital topics of abstract functional analysis where necessary, and using clear and simple proofs, the book develops an elegant presentation of the theory while integrating applications of basic real world problems involving the Laplacian. Suitable for use as a self-contained introduction for beginners or as a one-semester student text; contains some 25 examples and 60 exercises, most with detailed hints.
Book Synopsis Spectral Theory of Linear Operators by : Henry R. Dowson
Download or read book Spectral Theory of Linear Operators written by Henry R. Dowson and published by . This book was released on 1978 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: General spectral theory; Riesz operators; Hermitian operators; Prespectral operators; Well-bounded operators.
Download or read book Spectral Theory written by Nelson Dunford and published by . This book was released on 1963 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Guide to Spectral Theory by : Christophe Cheverry
Download or read book A Guide to Spectral Theory written by Christophe Cheverry and published by Springer Nature. This book was released on 2021-05-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students alike will also appreciate the exploration of more advanced applications and research perspectives presented near the end of the book. Beginning with a brief introduction to the relationship between spectral theory and quantum physics, the authors go on to explore unbounded operators, analyzing closed, adjoint, and self-adjoint operators. Next, the spectrum of a closed operator is defined and the fundamental properties of Fredholm operators are introduced. The authors then develop the Grushin method to execute the spectral analysis of compact operators. The chapters that follow are devoted to examining Hille-Yoshida and Stone theorems, the spectral analysis of self-adjoint operators, and trace-class and Hilbert-Schmidt operators. The final chapter opens the discussion to several selected applications. Throughout this textbook, detailed proofs are given, and the statements are illustrated by a number of well-chosen examples. At the end, an appendix about foundational functional analysis theorems is provided to help the uninitiated reader. A Guide to Spectral Theory: Applications and Exercises is intended for graduate students taking an introductory course in spectral theory or operator theory. A background in linear functional analysis and partial differential equations is assumed; basic knowledge of bounded linear operators is useful but not required. PhD students and researchers will also find this volume to be of interest, particularly the research directions provided in later chapters.
Book Synopsis Spectral Theory for Compact Self-adjoint Operators in Hilbert Space by : Anthony James Pattison
Download or read book Spectral Theory for Compact Self-adjoint Operators in Hilbert Space written by Anthony James Pattison and published by . This book was released on 1963 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Theory of Schrodinger Operators by : Rafael del Río
Download or read book Spectral Theory of Schrodinger Operators written by Rafael del Río and published by American Mathematical Soc.. This book was released on 2004 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the articles based on a series of lectures from a workshop held at the Institute of Applied Mathematics of the National University of Mexico. The aim of the book is to present to a non-specialized audience the basic tools needed to understand and appreciate new trends of research on Schrodinger operator theory. Topics discussed include various aspects of the spectral theory of differential operators, the theory of self-adjoint operators, finite rank perturbations, spectral properties of random Schrodinger operators, and scattering theory for Schrodinger operators. The material is suitable for graduate students and research mathematicians interested in differential operators, in particular, spectral theory of Schrodinger operators.
Book Synopsis Spectral Theory for Bounded Self-adjoint Operators by : Roland Strömberg
Download or read book Spectral Theory for Bounded Self-adjoint Operators written by Roland Strömberg and published by . This book was released on 2006 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Approximation of Linear Operators by : Francoise Chatelin
Download or read book Spectral Approximation of Linear Operators written by Francoise Chatelin and published by SIAM. This book was released on 2011-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Academic Press, 1983.
Book Synopsis Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables by : I_Uri_ Makarovich Berezanski_
Download or read book Selfadjoint Operators in Spaces of Functions of Infinitely Many Variables written by I_Uri_ Makarovich Berezanski_ and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Questions in the spectral theory of selfadjoint and normal operators acting in spaces of functions of infinitely many variables are studied in this book, and, in particular, the theory of expansions in generalized eigenfunctions of such operators. Both individual operators and arbitrary commuting families of them are considered. A theory of generalized functions of infinitely many variables is constructed. The circle of questions presented has evolved in recent years, especially in connection with problems in quantum field theory. This book will be useful to mathematicians and physicists interested in the indicated questions, as well as to graduate students and students in advanced university courses.
Download or read book Linear Operators. written by and published by . This book was released on 1963 with total page 1065 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A First Course in Spectral Theory by : Milivoje Lukić
Download or read book A First Course in Spectral Theory written by Milivoje Lukić and published by American Mathematical Society. This book was released on 2022-12-15 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central topic of this book is the spectral theory of bounded and unbounded self-adjoint operators on Hilbert spaces. After introducing the necessary prerequisites in measure theory and functional analysis, the exposition focuses on operator theory and especially the structure of self-adjoint operators. These can be viewed as infinite-dimensional analogues of Hermitian matrices; the infinite-dimensional setting leads to a richer theory which goes beyond eigenvalues and eigenvectors and studies self-adjoint operators in the language of spectral measures and the Borel functional calculus. The main approach to spectral theory adopted in the book is to present it as the interplay between three main classes of objects: self-adjoint operators, their spectral measures, and Herglotz functions, which are complex analytic functions mapping the upper half-plane to itself. Self-adjoint operators include many important classes of recurrence and differential operators; the later part of this book is dedicated to two of the most studied classes, Jacobi operators and one-dimensional Schrödinger operators. This text is intended as a course textbook or for independent reading for graduate students and advanced undergraduates. Prerequisites are linear algebra, a first course in analysis including metric spaces, and for parts of the book, basic complex analysis. Necessary results from measure theory and from the theory of Banach and Hilbert spaces are presented in the first three chapters of the book. Each chapter concludes with a number of helpful exercises.
Book Synopsis Introduction to Spectral Theory by : Simone Malacrida
Download or read book Introduction to Spectral Theory written by Simone Malacrida and published by Simone Malacrida. This book was released on 2022-12-17 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: The following topics are presented in this book: basic concepts of operator functional analysis spectral theorem and spectral measurements Stone's theorem and physical applications
