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Spectral Theory of Differential Operators: M. Sh. Birman 80th Anniversary Collection
About this Title
T. Suslina, St. Petersburg State University, St. Petersburg, Russia and D. Yafaev, Université de Rennes I, Rennes, France, Editors
Publication: American Mathematical Society Translations: Series 2
Publication Year:
2008; Volume 225
ISBNs: 978-0-8218-4738-1 (print); 978-1-4704-1825-0 (online)
DOI: https://doi.org/10.1090/trans2/225
MathSciNet review: MR2530978
MSC: Primary 35-06; Secondary 34L40, 35Jxx, 35Pxx, 47A10, 47A55, 47F05, 81-06
ReadershipTable of Contents
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Front/Back Matter
Chapters
- M. Solomyak and T. Suslina – On the scientific work of M. Sh. Birman in 1998–2007
- Continuation of the list of publications of M. Sh. Birman
- M. Sh. Birman – Perturbations of the continuous spectrum of a singular elliptic operator by varying the boundary and the boundary conditions
- V. S. Buslaev and S. B. Levin – Asymptotic behavior of the eigenfunctions of many-particle Schrödinger operator. I. One-dimensional particles
- M. N. Demchenko and N. D. Filonov – Spectral asymptotics of the Maxwell operator on Lipschitz manifolds with boundary
- Rupert L. Frank and Ari Laptev – Spectral inequalities for Schrödinger operators with surface potentials
- Leonid Friedlander and Michael Solomyak – On the spectrum of the Dirichlet Laplacian in a narrow infinite strip
- Evgeny Korotyaev and Anton Kutsenko – Lyapunov functions of periodic matrix-valued Jacobi operators
- Ari Laptev and Alexander V. Sobolev – Hardy inequalities for simply connected planar domains
- Alexander Pushnitski – The spectral flow, the Fredholm index, and the spectral shift function
- Georgi Raikov – On the spectrum of a translationally invariant Pauli operator
- Grigori Rozenblum and Alexander V. Sobolev – Discrete spectrum distribution of the Landau operator perturbed by an expanding electric potential
- Y. Safarov – On the comparison of the Dirichlet and Neumann counting functions
- O. Safronov – Absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials
- Roman Shterenberg – On the discrete spectrum of the perturbed periodic magnetic Schrödinger operator with degenerate lower edge of the spectrum
- T. A. Suslina – Homogenization of periodic second order differential operators including first order terms
- Timo Weidl – Improved Berezin-Li-Yau inequalities with a remainder term
- D. R. Yafaev – Spectral and scattering theory of fourth order differential operators