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Spectral Theory and Differential Op (Cambridge Studies in Advanced Mathematics,,
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- 物品狀況
- 良好
- 賣家備註
- “Used book in good condition. Shows typical wear. Quick shipping. Satisfaction guaranteed!”
- ISBN
- 9780521587105
- Publication Name
- Spectral Theory and Differential Operators
- Item Length
- 9in
- Publisher
- Cambridge University Press
- Publication Year
- 1996
- Series
- Cambridge Studies in Advanced Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Height
- 0.7in
- Item Width
- 5.9in
- Item Weight
- 9.7 Oz
- Number of Pages
- 196 Pages
關於產品
Product Information
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.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521587107
ISBN-13
9780521587105
eBay Product ID (ePID)
1074798
Product Key Features
Publication Name
Spectral Theory and Differential Operators
Format
Trade Paperback
Language
English
Publication Year
1996
Series
Cambridge Studies in Advanced Mathematics Ser.
Type
Textbook
Number of Pages
196 Pages
Dimensions
Item Length
9in
Item Height
0.7in
Item Width
5.9in
Item Weight
9.7 Oz
Additional Product Features
Series Volume Number
Series Number 42
Lc Classification Number
Qa320.D317 1996
Reviews
' … 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 fr Mathematik, ' ... 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 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, ' … 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 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 f r Mathematik, ' ... 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, ' ... 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, ‘ … 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, ' � 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 f�athematik, ' � 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
Table of Content
1. The fundamental ideas; 2. The spectral theorem; 3. Translation invariant operators; 4. The variation methods; 5. Further spectral results; 6. Dirichlet boundary conditions; 7. Neumann boundary conditions; 8. Schrödinger operators.
Copyright Date
1996
Target Audience
Scholarly & Professional
Topic
Functional Analysis, Mathematical Analysis
Dewey Decimal
515.7/242
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics
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