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Description - Spectral Theory and Differential Operators by E. Brian Davies

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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Book Details

ISBN: 9780521587105
ISBN-10: 0521587107
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 196
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Oct-1996
Country of Publication: United Kingdom

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