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Spectral Theory of Differential Operators: M. Sh. Birman 80th Anniversary Collection

Edited by: T. Suslina St. Petersburg State University, St. Petersburg, Russia
D. Yafaev Université de Rennes I, Rennes, France
Available Formats:
Hardcover ISBN: 978-0-8218-4738-1
Product Code: TRANS2/225
List Price: $126.00 MAA Member Price:$113.40
AMS Member Price: $100.80 Electronic ISBN: 978-1-4704-1825-0 Product Code: TRANS2/225.E List Price:$118.00
MAA Member Price: $106.20 AMS Member Price:$94.40
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List Price: $189.00 MAA Member Price:$170.10
AMS Member Price: $151.20 Click above image for expanded view Spectral Theory of Differential Operators: M. Sh. Birman 80th Anniversary Collection Edited by: T. Suslina St. Petersburg State University, St. Petersburg, Russia D. Yafaev Université de Rennes I, Rennes, France Available Formats:  Hardcover ISBN: 978-0-8218-4738-1 Product Code: TRANS2/225  List Price:$126.00 MAA Member Price: $113.40 AMS Member Price:$100.80
 Electronic ISBN: 978-1-4704-1825-0 Product Code: TRANS2/225.E
 List Price: $118.00 MAA Member Price:$106.20 AMS Member Price: $94.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$189.00 MAA Member Price: $170.10 AMS Member Price:$151.20
• Book Details

American Mathematical Society Translations - Series 2
Volume: 2252008; 299 pp
MSC: Primary 47; Secondary 81;

This volume is dedicated to Professor M. Sh. Birman in honor of his eightieth birthday. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrödinger operators, and in homogenization theory. All articles are written by members of M. Sh. Birman's research group who are affiliated with different universities all over the world. A specific feature of the majority of the papers is a combination of traditional methods with new modern ideas.

Graduate students and research mathematicians interested theory of differential operators.

• Cover
• Title page
• Photo
• Contents
• On the scientific work of M. Sh. Birman in 1998–2007
• Continuation of the list of publications of M. Sh. Birman
• Perturbations of the continuous spectrum of a singular elliptic operator by varying the boundary and the boundary conditions
• Asymptotic behavior of the eigenfunctions of many-particle Schrödinger operator. I. One-dimensional particles
• Spectral asymptotics of the Maxwell operator on Lipschitz manifolds with boundary
• Spectral inequalities for Schrödinger operators with surface potentials
• On the spectrum of the Dirichlet Laplacian in a narrow infinite strip
• Lyapunov functions of periodic matrix-valued Jacobi operators
• Hardy inequalities for simply connected planar domains
• The spectral flow, the Fredholm index, and the spectral shift function
• On the spectrum of a translationally invariant Pauli operator
• Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential
• On the comparison of the Dirichlet and Neumann counting functions
• Absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials
• On discrete spectrum of the perturbed periodic magnetic Schrödinger operator with degenerate lower edge of the spectrum
• Homogenization of periodic second order differential operators including first order terms
• Improved Berezin-Li-Yau inequalities with a remainder term
• Spectral and scattering theory of fourth order differential operators
• Back Cover

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Volume: 2252008; 299 pp
MSC: Primary 47; Secondary 81;

This volume is dedicated to Professor M. Sh. Birman in honor of his eightieth birthday. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrödinger operators, and in homogenization theory. All articles are written by members of M. Sh. Birman's research group who are affiliated with different universities all over the world. A specific feature of the majority of the papers is a combination of traditional methods with new modern ideas.

Graduate students and research mathematicians interested theory of differential operators.

• Cover
• Title page
• Photo
• Contents
• On the scientific work of M. Sh. Birman in 1998–2007
• Continuation of the list of publications of M. Sh. Birman
• Perturbations of the continuous spectrum of a singular elliptic operator by varying the boundary and the boundary conditions
• Asymptotic behavior of the eigenfunctions of many-particle Schrödinger operator. I. One-dimensional particles
• Spectral asymptotics of the Maxwell operator on Lipschitz manifolds with boundary
• Spectral inequalities for Schrödinger operators with surface potentials
• On the spectrum of the Dirichlet Laplacian in a narrow infinite strip
• Lyapunov functions of periodic matrix-valued Jacobi operators
• Hardy inequalities for simply connected planar domains
• The spectral flow, the Fredholm index, and the spectral shift function
• On the spectrum of a translationally invariant Pauli operator
• Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential
• On the comparison of the Dirichlet and Neumann counting functions
• Absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials
• On discrete spectrum of the perturbed periodic magnetic Schrödinger operator with degenerate lower edge of the spectrum
• Homogenization of periodic second order differential operators including first order terms
• Improved Berezin-Li-Yau inequalities with a remainder term
• Spectral and scattering theory of fourth order differential operators
• Back Cover
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