A First Course In Spectral Theory

Download A First Course In Spectral Theory full books in PDF, epub, and Kindle. Read online A First Course In Spectral Theory ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

A Short Course on Spectral Theory

Author : William Arveson
Publisher : Springer Science & Business Media
ISBN 13 : 0387953000
Total Pages : 140 pages
Book Rating : 4.3/5 (879 download)

DOWNLOAD NOW!

Book Synopsis A Short Course on Spectral Theory by : William Arveson

Download or read book A Short Course on Spectral Theory written by William Arveson and published by Springer Science & Business Media. This book was released on 2001-11-09 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basic tools of modern analysis within the context of the fundamental problem of operator theory: to calculate spectra of specific operators on infinite dimensional spaces, especially operators on Hilbert spaces. The tools are diverse, and they provide the basis for more refined methods that allow one to approach problems that go well beyond the computation of spectra: the mathematical foundations of quantum physics, noncommutative K-theory, and the classification of simple C*-algebras being three areas of current research activity which require mastery of the material presented here.

A First Course in Spectral Theory

Author : Milivoje Lukić
Publisher : American Mathematical Society
ISBN 13 : 1470466562
Total Pages : 494 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!

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 2023-01-04 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.

A Guide to Spectral Theory

Author : Christophe Cheverry
Publisher : Springer Nature
ISBN 13 : 3030674622
Total Pages : 258 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!

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.

Spectral Theory and Its Applications

Author : Bernard Helffer
Publisher : Cambridge University Press
ISBN 13 : 110703230X
Total Pages : 263 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Spectral Theory and Its Applications by : Bernard Helffer

Download or read book Spectral Theory and Its Applications written by Bernard Helffer and published by Cambridge University Press. This book was released on 2013-01-17 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

Pseudodifferential Operators and Spectral Theory

Author : M.A. Shubin
Publisher : Springer Science & Business Media
ISBN 13 : 3642565794
Total Pages : 296 pages
Book Rating : 4.6/5 (425 download)

DOWNLOAD NOW!

Book Synopsis Pseudodifferential Operators and Spectral Theory by : M.A. Shubin

Download or read book Pseudodifferential Operators and Spectral Theory written by M.A. Shubin and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.

A First Course in Functional Analysis

Author : Rabindranath Sen
Publisher : Anthem Press
ISBN 13 : 1783083247
Total Pages : 486 pages
Book Rating : 4.7/5 (83 download)

DOWNLOAD NOW!

Book Synopsis A First Course in Functional Analysis by : Rabindranath Sen

Download or read book A First Course in Functional Analysis written by Rabindranath Sen and published by Anthem Press. This book was released on 2014-11-01 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with a comprehensive introduction to functional analysis. Topics include normed linear and Hilbert spaces, the Hahn-Banach theorem, the closed graph theorem, the open mapping theorem, linear operator theory, the spectral theory, and a brief introduction to the Lebesgue measure. The book explains the motivation for the development of these theories, and applications that illustrate the theories in action. Applications in optimal control theory, variational problems, wavelet analysis and dynamical systems are also highlighted. ‘A First Course in Functional Analysis’ will serve as a ready reference to students not only of mathematics, but also of allied subjects in applied mathematics, physics, statistics and engineering.

Spectral Theory of Operators on Hilbert Spaces

Author : Carlos S. Kubrusly
Publisher : Springer Science & Business Media
ISBN 13 : 0817683283
Total Pages : 203 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!

Book Synopsis Spectral Theory of Operators on Hilbert Spaces by : Carlos S. Kubrusly

Download or read book Spectral Theory of Operators on Hilbert Spaces written by Carlos S. Kubrusly and published by Springer Science & Business Media. This book was released on 2012-06-01 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field.

A First Course in Functional Analysis

Author : Martin Davis
Publisher : Courier Corporation
ISBN 13 : 0486315819
Total Pages : 129 pages
Book Rating : 4.4/5 (863 download)

DOWNLOAD NOW!

Book Synopsis A First Course in Functional Analysis by : Martin Davis

Download or read book A First Course in Functional Analysis written by Martin Davis and published by Courier Corporation. This book was released on 2013-05-27 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate mathematics majors, this self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and more. 1966 edition.

A First Course in Linear Algebra

Author : Kenneth Kuttler
Publisher :
ISBN 13 :
Total Pages : 586 pages
Book Rating : 4.:/5 (125 download)

DOWNLOAD NOW!

Book Synopsis A First Course in Linear Algebra by : Kenneth Kuttler

Download or read book A First Course in Linear Algebra written by Kenneth Kuttler and published by . This book was released on 2020 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A First Course in Linear Algebra, originally by K. Kuttler, has been redesigned by the Lyryx editorial team as a first course for the general students who have an understanding of basic high school algebra and intend to be users of linear algebra methods in their profession, from business & economics to science students. All major topics of linear algebra are available in detail, as well as justifications of important results. In addition, connections to topics covered in advanced courses are introduced. The textbook is designed in a modular fashion to maximize flexibility and facilitate adaptation to a given course outline and student profile. Each chapter begins with a list of student learning outcomes, and examples and diagrams are given throughout the text to reinforce ideas and provide guidance on how to approach various problems. Suggested exercises are included at the end of each section, with selected answers at the end of the textbook."--BCcampus website.

Notes on Spectral Theory

Author : Sterling K. Berberian
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis Notes on Spectral Theory by : Sterling K. Berberian

Download or read book Notes on Spectral Theory written by Sterling K. Berberian and published by . This book was released on 1966 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course in Operator Theory

Author : John B. Conway
Publisher : American Mathematical Soc.
ISBN 13 : 0821820656
Total Pages : 390 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis A Course in Operator Theory by : John B. Conway

Download or read book A Course in Operator Theory written by John B. Conway and published by American Mathematical Soc.. This book was released on 2000 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on $C^*$-algebras, normal operators, compact operators, and non-normal operators. Some of the major topics covered are the spectral theorem, the functional calculus, and the Fredholm index. In addition, some deep connections between operator theory and analytic functions are presented. Later chapters cover more advanced topics, such as representations of $C^*$-algebras, compact perturbations, and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem, and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. The last chapter gives an introduction to reflexive subspaces, which along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras. Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis.

A Course in Functional Analysis

Author : John B Conway
Publisher : Springer
ISBN 13 : 1475743831
Total Pages : 416 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!

Book Synopsis A Course in Functional Analysis by : John B Conway

Download or read book A Course in Functional Analysis written by John B Conway and published by Springer. This book was released on 2019-03-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

Unbounded Self-adjoint Operators on Hilbert Space

Author : Konrad Schmüdgen
Publisher : Springer Science & Business Media
ISBN 13 : 9400747535
Total Pages : 435 pages
Book Rating : 4.4/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Unbounded Self-adjoint Operators on Hilbert Space by : Konrad Schmüdgen

Download or read book Unbounded Self-adjoint Operators on Hilbert Space written by Konrad Schmüdgen and published by Springer Science & Business Media. This book was released on 2012-07-09 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: - Spectral integrals and spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators - Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension

A First Course in Random Matrix Theory

Author : Marc Potters
Publisher : Cambridge University Press
ISBN 13 : 1108488080
Total Pages : 371 pages
Book Rating : 4.1/5 (84 download)

DOWNLOAD NOW!

Book Synopsis A First Course in Random Matrix Theory by : Marc Potters

Download or read book A First Course in Random Matrix Theory written by Marc Potters and published by Cambridge University Press. This book was released on 2020-12-03 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: An intuitive, up-to-date introduction to random matrix theory and free calculus, with real world illustrations and Big Data applications.

Spectral Theory and Differential Operators

Author : David Eric Edmunds
Publisher : Oxford University Press
ISBN 13 : 0198812051
Total Pages : 610 pages
Book Rating : 4.1/5 (988 download)

DOWNLOAD NOW!

Book Synopsis Spectral Theory and Differential Operators by : David Eric Edmunds

Download or read book Spectral Theory and Differential Operators written by David Eric Edmunds and published by Oxford University Press. This book was released on 2018 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an updated version of the classic 1987 monograph "Spectral Theory and Differential Operators".The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations. It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics. This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.

A First Course in Network Theory

Author : Ernesto Estrada
Publisher : Oxford University Press, USA
ISBN 13 : 0198726457
Total Pages : 269 pages
Book Rating : 4.1/5 (987 download)

DOWNLOAD NOW!

Book Synopsis A First Course in Network Theory by : Ernesto Estrada

Download or read book A First Course in Network Theory written by Ernesto Estrada and published by Oxford University Press, USA. This book was released on 2015 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needs of students from very different backgrounds. It references the most commonly used concepts in network theory, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results. In the first part of the book, students and researchers will discover the quantitative and analytical tools necessary to work with complex networks, including the most basic concepts in network and graph theory, linear and matrix algebra, as well as the physical concepts most frequently used for studying networks. They will also find instruction on some key skills such as how to proof analytic results and how to manipulate empirical network data. The bulk of the text is focused on instructing readers on the most useful tools for modern practitioners of network theory. These include degree distributions, random networks, network fragments, centrality measures, clusters and communities, communicability, and local and global properties of networks. The combination of theory, example and method that are presented in this text, should ready the student to conduct their own analysis of networks with confidence and allow teachers to select appropriate examples and problems to teach this subject in the classroom.

A First Course in the Numerical Analysis of Differential Equations

Author : A. Iserles
Publisher : Cambridge University Press
ISBN 13 : 0521734908
Total Pages : 481 pages
Book Rating : 4.5/5 (217 download)

DOWNLOAD NOW!

Book Synopsis A First Course in the Numerical Analysis of Differential Equations by : A. Iserles

Download or read book A First Course in the Numerical Analysis of Differential Equations written by A. Iserles and published by Cambridge University Press. This book was released on 2009 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.