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Multidimensional Periodic Schrödinger Operator

The propagation of the waves in periodic media at large time. The inverse problem for the Hill operator, a direct approach. The estimates of periodic potentials in terms of effective masses. The inverse problem for the Hill operator. Inverse problems for the Hill operator, the direct approach.

Metric properties of conformal mappings on the complex plane with parallel slits. Scattering by an anisotropic potential in a constant electric field. POMI , Mat. Effective masses and conformal mappings. Diffusion in layered media for large time values.

L1.1 General problem. Non-degenerate perturbation theory

Russian Teoret. Effective masses for the Hill operator, and conformal mappings. Wave propagation in a one-dimensional periodic medium.

The Enss method taking into account anisotropy. Some properties of the quasimomentum of the one-dimensional Hill operator. LOMI , Mat.


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The dynamical Stark effect in a system of three particles. On scattering in an exterior homogeneous and time-periodic magnetic field. Russian Mat.

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On resonance scattering in a pair of spaces. On the theory of multiparticle scattering in an external electric field. Scattering of many particles in an external electric field. Nauk SSSR , no. Scattering theory for three-particle systems with time-periodic pair interactions. Eigenfunctions of the monodromy operator of the Schrodinger operator with a potential that is periodic with respect to time. Scattering theory for three particles with pair potentials that are periodic in time. On the spectrum of the monodromy operator of the Schrodinger operator with a potential which is periodic with respect to time.

Russian Boundary value problems of mathematical physics and related questions in the theory of functions, LOMI 96 , — The scattering problem for a slowly decreasing potential that is periodically dependent on time. LOMI 84 , — The theory of potential scattering with account taken of spatial anisotropy. LOMI 73 , 35— Potential scattering with allowance for spatial anisotropy. Traces on surfaces in function classes with dominating mixed derivatives.

Boundary value problems of mathematical physics and related questions in the theory of functions, 10 Russian. LOMI 69 , — Integrable systems KdV and non-linear Schrodinger equation , a priori estimates for integrable systems, symplectic coordinates. Geometric function theory harmonic and functional analysis, geometric function theory, the Lowner equation for the conformal mapping associated with quasimomentum Scattering theory including few body systems in external fields.

Milman Spectral estimates, contractions and hypercontractivity go P. Charron A Pleijel-type theorem for the quantum harmonic oscillator go M. Choulli, Y. Baranov, D. Yakubovich Completeness of rank one perturbations of normal operators with lacunary spectrum go A. Aleman, J. Viola On weak and strong solution operators for evolution equations coming from quadratic operators go C. Marx, L. Shou, J. Kaleta, M. Jollivet, V. Sharafutdinov An inequality for the Steklov spectral zeta function of a planar domain go C.

Le Peutrec Small noise spectral gap asymptotics for a large system of nonlinear diffusions go A. El Soufi, E. Harrell II, S. Ilias, J. Stubbe On sums of eigenvalues of elliptic operators on manifolds go D. Damanik, J. Fillman, M. Ivanov, A. Petkov, D. Vassilev The Obata sphere theorems on a quaternionic contact manifold of dimension bigger than seven go M. Kha, P. Kuchment, A. Raich Green's function asymptotics near the internal edges of spectra of periodic elliptic operators.

Spectral gap interior go E. Frank, B. II go R. Henry, D. Korotyaev Resonances for 1d Stark operators go S. Molchanov, L. Raymond Semiclassical tunneling and magnetic flux effects on the circle go P. Patie, M. Savov Cauchy problem of the non-self-adjoint Gauss—Laguerre semigroups and uniform bounds for generalized Laguerre polynomials go M. Goffeng, E. Schrohe Spectral flow of exterior Landau—Robin hamiltonians go A. Hassell, V. Ivrii Spectral asymptotics for the semiclassical Dirichlet to Neumann operator go R.

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Girouard, I. Polterovich Spectral geometry of the Steklov problem Survey article go K.


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  • Tao, M. Joye Density of states for random contractions go M. Egidi, O. Post Asymptotic behaviour of the Hodge Laplacian spectrum on graph-like manifolds go H. Hezari, G. Briet, A. Martinez Estimates on the molecular dynamics for the predissociation process go P. Hintz Resonance expansions for tensor-valued waves on asymptotically Kerr—de Sitter spaces go A. Boutet de Monvel, L.

    Petkov, G. Vodev Asymptotics of the number of the interior transmission eigenvalues go M. Goldberg, W. II: The even dimensional case go A. Elgart, S. Sodin The trimmed Anderson model at strong disorder: localisation and its breakup go G. Poliquin Superlevel sets and nodal extrema of Laplace—Beltrami eigenfunctions go M. Langer, M. Gil' Rotations of eigenvectors under unbounded perturbations go J.

    EMS - European Mathematical Society Publishing House

    Fillman Spectral homogeneity of discrete one-dimensional limit-periodic operators go A. Boumenir A solvability condition for a tokamak problem go F. Bei, B. Chulaevsky, Y. Avetisyan, Y. Fang, D.