| Hardcover ISBN: | 978-0-8218-5272-9 |
| Product Code: | TRANS2/231 |
| List Price: | $175.00 |
| MAA Member Price: | $157.50 |
| AMS Member Price: | $140.00 |
| eBook ISBN: | 978-1-4704-1831-1 |
| Product Code: | TRANS2/231.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| Hardcover ISBN: | 978-0-8218-5272-9 |
| eBook: ISBN: | 978-1-4704-1831-1 |
| Product Code: | TRANS2/231.B |
| List Price: | $340.00 $257.50 |
| MAA Member Price: | $306.00 $231.75 |
| AMS Member Price: | $272.00 $206.00 |
| Hardcover ISBN: | 978-0-8218-5272-9 |
| Product Code: | TRANS2/231 |
| List Price: | $175.00 |
| MAA Member Price: | $157.50 |
| AMS Member Price: | $140.00 |
| eBook ISBN: | 978-1-4704-1831-1 |
| Product Code: | TRANS2/231.E |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| Hardcover ISBN: | 978-0-8218-5272-9 |
| eBook ISBN: | 978-1-4704-1831-1 |
| Product Code: | TRANS2/231.B |
| List Price: | $340.00 $257.50 |
| MAA Member Price: | $306.00 $231.75 |
| AMS Member Price: | $272.00 $206.00 |
-
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.
-
Table of Contents
-
Chapters
-
Michael Levitin and Dmitri Vassiliev — Victor Borisovich Lidskii (1924–2008)
-
Israel Gohberg — In memory of Victor Borisovich Lidskii (1924–2008)
-
List of publications by V. B. Lidskii
-
Rodrigo Bañuelos, Tadeusz Kulczycki, Iosif Polterovich and Bartłomiej Siudeja — Eigenvalue inequalities for mixed Steklov problems
-
M. Sh. Birman and T. A. Suslina — The analog of the limiting absorption principle in homogenization of periodic elliptic operators
-
Lyonell Boulton, Michael Levitin and Marco Marletta — On a class of nonselfadjoint periodic boundary value problems with discrete real spectrum
-
Nils Dencker — Spectral instability of semiclassical operators
-
Jacqueline Fleckinger and Na Wei — Estimates of solutions to some weighted systems defined on $\mathbb {R}^N$
-
Peter Kuchment and Beng-Seong Ong — On guided electromagnetic waves in photonic crystal waveguides
-
Ari Laptev and Fabian Portmann — Spectral inequalities for a class of nonellilptic operators
-
Michael Levitin, Alexander V Sobolev and Daphne Sobolev — On the near periodicity of eigenvalues of Toeplitz matrices
-
V. Maz′ya, A. Movchan and M. Nieves — Green’s kernels for transmission problems in bodies with small inclusions
-
Sergey Morozov, Leonid Parnovski and Irina Pchelintseva — Lower bound on the density of states for periodic Schrödinger operators
-
Eugene Shargorodsky — On some open problems in spectral theory
-
-
Additional Material
-
RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
-
Chapters
-
Michael Levitin and Dmitri Vassiliev — Victor Borisovich Lidskii (1924–2008)
-
Israel Gohberg — In memory of Victor Borisovich Lidskii (1924–2008)
-
List of publications by V. B. Lidskii
-
Rodrigo Bañuelos, Tadeusz Kulczycki, Iosif Polterovich and Bartłomiej Siudeja — Eigenvalue inequalities for mixed Steklov problems
-
M. Sh. Birman and T. A. Suslina — The analog of the limiting absorption principle in homogenization of periodic elliptic operators
-
Lyonell Boulton, Michael Levitin and Marco Marletta — On a class of nonselfadjoint periodic boundary value problems with discrete real spectrum
-
Nils Dencker — Spectral instability of semiclassical operators
-
Jacqueline Fleckinger and Na Wei — Estimates of solutions to some weighted systems defined on $\mathbb {R}^N$
-
Peter Kuchment and Beng-Seong Ong — On guided electromagnetic waves in photonic crystal waveguides
-
Ari Laptev and Fabian Portmann — Spectral inequalities for a class of nonellilptic operators
-
Michael Levitin, Alexander V Sobolev and Daphne Sobolev — On the near periodicity of eigenvalues of Toeplitz matrices
-
V. Maz′ya, A. Movchan and M. Nieves — Green’s kernels for transmission problems in bodies with small inclusions
-
Sergey Morozov, Leonid Parnovski and Irina Pchelintseva — Lower bound on the density of states for periodic Schrödinger operators
-
Eugene Shargorodsky — On some open problems in spectral theory
