American Mathematical Society TranslationsSeries 2 Advances in the Mathematical Sciences 2008; 299 pp; hardcover Volume: 225 ISBN10: 0821847384 ISBN13: 9780821847381 List Price: US$118 Member Price: US$94.40 Order Code: TRANS2/225
 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. Readership Graduate students and research mathematicians interested theory of differential operators. Table of Contents  M. Solomyak and T. Suslina  On the scientific work of M. Sh. Birman in 19982007
 T. Suslina and D. Yafaev  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 manyparticle Schrödinger operator. I. Onedimensional particles
 M. N. Demchenko and N. D. Filonov  Spectral asymptotics of the Maxwell operator on Lipschitz manifolds with boundary
 R. L. Frank and A. Laptev  Spectral inequalities for Schrödinger operators with surface potentials
 L. Friedlander and M. Solomyak  On the spectrum of the Dirichlet Laplacian in a narrow infinite strip
 E. Korotyaev and A. Kutsenko  Lyapunov functions of periodic matrixvalued Jacobi operators
 A. Laptev and A. V. Sobolev  Hardy inequalities for simply connected planar domains
 A. Pushnitski  The spectral flow, the Fredholm index, and the spectral shift function
 G. Raikov  On the spectrum of a translationally invariant Pauli operator
 G. Rozenblum and A. 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 multidimensional Schrödinger operators with slowly decaying potentials
 R. Shterenberg  On 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
 T. Weidl  Improved BerezinLiYau inequalities with a remainder term
 D. R. Yafaev  Spectral and scattering theory of fourth order differential operators
