Description: 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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Binding: Paperback
Book Title: Spectral Theory and Differential Op (Cambridge Studies in Advance
Number of Pages: 196 Pages
Publication Name: Spectral Theory and Differential Operators
Language: English
Publisher: Cambridge University Press
Publication Year: 1996
Item Height: 0.7 in
Subject: Functional Analysis, Mathematical Analysis
Type: Textbook
Item Weight: 9.7 Oz
Author: E. Brian Davies
Item Length: 9 in
Subject Area: Mathematics
Series: Cambridge Studies in Advanced Mathematics Ser.
Item Width: 5.9 in
Format: Trade Paperback