000 -LEADER |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
250425b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780521587105 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.7242 |
Item number |
DAV |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Davies, E. Brian |
245 ## - TITLE STATEMENT |
Title |
Spectral theory and differential operators |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
Cambridge University Press, |
Date of publication, distribution, etc |
1996 |
Place of publication, distribution, etc |
Cambridge : |
300 ## - PHYSICAL DESCRIPTION |
Extent |
ix, 182 p. ; |
Other physical details |
ill., |
Dimensions |
23 cm. |
365 ## - TRADE PRICE |
Price amount |
50.99 |
Price type code |
₤ |
Unit of pricing |
116.70 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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.
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650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Bounded linear operator |
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Topical term or geographic name as entry element |
Dirichlet boundary conditions |
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Topical term or geographic name as entry element |
Dominated convergence theorem |
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Topical term or geographic name as entry element |
Eigenfunctions |
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Topical term or geographic name as entry element |
Elliptic operators |
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Topical term or geographic name as entry element |
Friedrichs extension |
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Topical term or geographic name as entry element |
Hilbert space |
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Topical term or geographic name as entry element |
Neumann boundary conditions |
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Topical term or geographic name as entry element |
Spectral theorem |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
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Item type |
Books |