| Hardcover ISBN: | 978-0-8218-5272-9 |
| Product Code: | TRANS2/231 |
| List Price: | $111.00 |
| MAA Member Price: | $99.90 |
| AMS Member Price: | $88.80 |
| Electronic ISBN: | 978-1-4704-1831-1 |
| Product Code: | TRANS2/231.E |
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| MAA Member Price: | $93.60 |
| AMS Member Price: | $83.20 |
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Book DetailsAmerican Mathematical Society Translations - Series 2Advances in the Mathematical SciencesVolume: 231; 2010; 180 ppMSC: Primary 01; 35; 47;
This book is a collection of articles devoted to the theory of linear operators in Hilbert spaces and its applications. The subjects covered range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity; the stability of numerical methods is also discussed. Many of the articles deal with spectral problems for not necessarily selfadjoint operators. Some of the articles are surveys outlining the current state of the subject and presenting open problems.
ReadershipGraduate students and research mathematicians interested in spectral theory of differential operators.
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Table of Contents
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Cover
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Title page
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Copyright page
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Frontispiece
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Contents
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Victor Borisovich Lidskii (1924–2008)
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In memory of Victor Borisovich Lidskii (1924–2008)
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List of publications by V. B. Lidskii
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Eigenvalue inequalities for mixed Steklov problems
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The analog of the limiting absorption principle in homogenization of periodic elliptic operators
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On a class of nonselfadjoint periodic boundary value problems with discrete real spectrum
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Spectral instability of semiclassical operators
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Estimates of solutions to some weighted systems defined on ℝ^{ℕ}
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On guided electromagnetic waves in photonic crystal waveguides
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Spectral inequalities for a class of nonellilptic operators
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On the near periodicity of eigenvalues of Toeplitz matrices
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Green’s kernels for transmission problems in bodies with small inclusions
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Lower bound on the density of states for periodic Schrödinger operators
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On some open problems in spectral theory
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Back Cover
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Additional Material
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RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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- Additional Material
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This book is a collection of articles devoted to the theory of linear operators in Hilbert spaces and its applications. The subjects covered range from the abstract theory of Toeplitz operators to the analysis of very specific differential operators arising in quantum mechanics, electromagnetism, and the theory of elasticity; the stability of numerical methods is also discussed. Many of the articles deal with spectral problems for not necessarily selfadjoint operators. Some of the articles are surveys outlining the current state of the subject and presenting open problems.
Graduate students and research mathematicians interested in spectral theory of differential operators.
-
Cover
-
Title page
-
Copyright page
-
Frontispiece
-
Contents
-
Victor Borisovich Lidskii (1924–2008)
-
In memory of Victor Borisovich Lidskii (1924–2008)
-
List of publications by V. B. Lidskii
-
Eigenvalue inequalities for mixed Steklov problems
-
The analog of the limiting absorption principle in homogenization of periodic elliptic operators
-
On a class of nonselfadjoint periodic boundary value problems with discrete real spectrum
-
Spectral instability of semiclassical operators
-
Estimates of solutions to some weighted systems defined on ℝ^{ℕ}
-
On guided electromagnetic waves in photonic crystal waveguides
-
Spectral inequalities for a class of nonellilptic operators
-
On the near periodicity of eigenvalues of Toeplitz matrices
-
Green’s kernels for transmission problems in bodies with small inclusions
-
Lower bound on the density of states for periodic Schrödinger operators
-
On some open problems in spectral theory
-
Back Cover
