Spectral Theory and Differential Operators
(Book #42 in the Cambridge Studies in Advanced Mathematics Series)
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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.
Format:Paperback
Language:English
ISBN:0521587107
ISBN13:9780521587105
Release Date:January 2008
Publisher:Cambridge University Press
Length:196 Pages
Weight:0.70 lbs.
Dimensions:0.4" x 6.0" x 9.0"
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