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Cambridge Studies in Advanced Mathematics Ser.: Spectral Theory and Differential Operators by E. Brian Davies (1996, Trade Paperback)
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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521587107
ISBN-139780521587105
eBay Product ID (ePID)1074798
Product Key Features
Number of Pages196 Pages
Publication NameSpectral Theory and Differential Operators
LanguageEnglish
Publication Year1996
SubjectFunctional Analysis, Mathematical Analysis
TypeTextbook
AuthorE. Brian Davies
Subject AreaMathematics
SeriesCambridge Studies in Advanced Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height0.7 in
Item Weight9.7 Oz
Item Length9 in
Item Width5.9 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition20
Reviews' ... a new approach to the spectral theorem for self-adjoint unbounded operators ... For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.' Monatshefte für Mathematik, ' … a concise and nicely written introduction to many important areas of this vast mathematical discipline … This short book (180 pages) will be very useful both to students and researchers working in related areas of mathematics and physics.'European Mathematical Society, ' … a new approach to the spectral theorem for self-adjoint unbounded operators … For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.'Monatshefte für Mathematik, ' ... a new approach to the spectral theorem for self-adjoint unbounded operators ... For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.' Monatshefte f r Mathematik, ' … a concise and nicely written introduction to many important areas of this vast mathematical discipline … This short book (180 pages) will be very useful both to students and researchers working in related areas of mathematics and physics.' European Mathematical Society, ' ... a concise and nicely written introduction to many important areas of this vast mathematical discipline ... This short book (180 pages) will be very useful both to students and researchers working in related areas of mathematics and physics.'European Mathematical Society, ' … a new approach to the spectral theorem for self-adjoint unbounded operators … For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.' Monatshefte fr Mathematik, ‘ … a new approach to the spectral theorem for self-adjoint unbounded operators … For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.’Monatshefte für Mathematik, ' ... a new approach to the spectral theorem for self-adjoint unbounded operators ... For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.'Monatshefte für Mathematik, ' ... a concise and nicely written introduction to many important areas of this vast mathematical discipline ... This short book (180 pages) will be very useful both to students and researchers working in related areas of mathematics and physics.' European Mathematical Society, ‘ … a concise and nicely written introduction to many important areas of this vast mathematical discipline … This short book (180 pages) will be very useful both to students and researchers working in related areas of mathematics and physics.’European Mathematical Society, ' � a new approach to the spectral theorem for self-adjoint unbounded operators � For readers with standard background in functional analysis and bounded operator theory the book can serve as a missing link to the more advanced literature.' Monatshefte f�athematik, ' � a concise and nicely written introduction to many important areas of this vast mathematical discipline � This short book (180 pages) will be very useful both to students and researchers working in related areas of mathematics and physics.' European Mathematical Society
Series Volume NumberSeries Number 42
IllustratedYes
Dewey Decimal515.7/242
Table Of Content1. The fundamental ideas; 2. The spectral theorem; 3. Translation invariant operators; 4. The variation methods; 5. Further spectral results; 6. Dirichlet boundary conditions; 7. Neumann boundary conditions; 8. Schrödinger operators.
SynopsisAn introduction to the theory of partial differential operators. For those with a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators on Banach spaces. Suitable for self-study or as a course text., In this book, Davies introduces the reader to the theory of partial differential operators, up to the spectral theorem for bounded linear operators on Banach spaces. He also describes the theory of Fourier transforms and distributions as far as is needed to analyze the spectrum of any constant coefficient partial differential operator. He also presents a completely new proof of the spectral theorem for unbounded self-adjoint operators and demonstrates its application to a variety of second order elliptic differential operators. Finally, the book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. Illustrated with many examples, it is well-suited to graduate-level work., This book is an introduction to the theory of partial differential operators. It assumes that the reader has a knowledge of introductory functional analysis, up to the spectral theorem for bounded linear operators on Banach spaces. However, it describes the theory of Fourier transforms and distributions as far as is needed to analyse the spectrum of any constant coefficient partial differential operator. A completely new proof of the spectral theorem for unbounded self-adjoint operators is followed by its application to a variety of second-order elliptic differential operators, from those with discrete spectrum to Schrödinger operators acting on L2(RN). The book contains a detailed account of the application of variational methods to estimate the eigenvalues of operators with measurable coefficients defined by the use of quadratic form techniques. This book could be used either for self-study or as a course text, and aims to lead the reader to the more advanced literature on the subject.
LC Classification NumberQA320.D317 1996
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