Spectral Theory and Differential Operators (Cambridge Studies in Advanced Mathematics)

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9780521587105: Spectral Theory and Differential Operators (Cambridge Studies in Advanced Mathematics)

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.

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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.

Review:

' ... 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

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E. Brian Davies
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Book Condition: New. Language: English . Brand New Book. 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 Schrodinger 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. Bookseller Inventory # AAZ9780521587105

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2003. Paperback. Book Condition: New. Language: English . Brand New Book. 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 Schrodinger 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. Bookseller Inventory # AAZ9780521587105

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Book Description Cambridge University Press 2003-02, 2003. Book Condition: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-LSI-06884547

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Book Description Cambridge University Press 1996-10-24, Cambridge, 1996. paperback. Book Condition: New. Bookseller Inventory # 9780521587105

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Book Description Cambridge University Press, 1996. PAP. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # GB-9780521587105

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Book Description Cambridge University Press, 1996. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9780521587105

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Book Description Cambridge University Press, 1996. Book Condition: New. 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 partial differential operators. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B.; Totaro, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 196 pages, illustrations. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 229 x 155 x 13. Weight in Grams: 304. . 1996. Paperback. . . . . . Bookseller Inventory # V9780521587105

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Book Description Paperback. Book Condition: New. Not Signed; 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 distribut. book. Bookseller Inventory # ria9780521587105_rkm

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Book Description Cambridge University Press. Book Condition: New. 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 partial differential operators. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B.; Totaro, B. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 196 pages, illustrations. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 229 x 155 x 13. Weight in Grams: 304. . 1996. Paperback. . . . . Books ship from the US and Ireland. Bookseller Inventory # V9780521587105

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