Spectral Theory of Differential Operators

"This volume is dedicated to the eightieth birthday of Professor M. Sh. Birman. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrodinger 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."--BOOK JACKET.

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 Schrodinger operator. I. One-dimensional particles
Spectral asymptotics of the Maxwell operator on Lipschitz manifolds with boundary
Spectral inequalities for Schrodinger 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 Schrodinger operators with slowly decaying potentials
On discrete spectrum of the perturbed periodic magnetic Schrodinger 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
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Spectral Theory of Differential Operators

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Spectral Theory of Differential Operators

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