Spectral Theory and Differential Equations: V.A. Marchenko's 90th Anniversary Collection (American Mathematical Society Translations)

Spectral Theory and Differential Equations: V.A. Marchenko's 90th Anniversary Collection (American Mathematical Society Translations)

By: Leonid Pastur (editor), D. Shepelsky (editor), E. Khruslov (editor)Hardback

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Description

This volume is dedicated to V.A. Marchenko on the occasion of his 90th birthday. It contains refereed original papers and survey articles written by his colleagues and former students of international stature and focuses on the areas to which he made important contributions: spectral theory of differential and difference operators and related topics of mathematical physics, including inverse problems of spectral theory, homogenization theory, and the theory of integrable systems. The papers in the volume provide a comprehensive account of many of the most significant recent developments in that broad spectrum of areas.

About Author

E. Khruslov, L. Pastur, and D. Shepelsky, B. Verkin Institute for Low Temperature Physics and Engineering, Kharkov, Ukraine

Contents

Local inverse scattering problem as a tool of perturbation analysis for resonance systems by V. M. Adamyan, G. J. Martin, and B. S. Pavlov The continuous theory of dislocations for a material containing dislocations to one Burgers vector only by H.-D. Alber Spectral problems of high order recurrences by A. I. Aptekarev On the multifractal spectrum of the whole-plane Levy-Loewner evolution by A. Boutet de Monvel, I. Loutsenko, and O. Yermolayeva Asymptotic behavior of large eigenvalues of a modified Jaynes-Cummings model by A. Boutet de Monvel and L. Zielinski Fourier integrals and a new representation of Maslov's canonical operator near caustics by S. Yu. Dobrokhotov, G. Makrakis, and V. E. Nazaikinskii Inverse uniqueness results for one-dimensional weighted Dirac operators by J. Eckhardt, A. Kostenko, and G. Teschl Spectral loci of Sturm-Liouville operators with polynomial potentials by A. Eremenko and A. Gabrielov The central limit theorem for linear eigenvalue statistics of the sum of independent matrices of rank one by O. Guedon, A. Lytova, A. Pajor, and L. Pastur On the spectrum of nonself-adjoint Zakharov-Shabat operators on $\mathbb{R}$ by T. Kappeler, P. Lohrmann, and P. Topalov Homogenized model of oscillations of elastic medium with small caverns filled with viscous incompressible fluid by E. Y. Khruslov, M. V. Goncharenko, and N. K. Radyakin Double scaling limit in Painleve IV equation and asymptotics of the Okamoto polynomials by V. Y. Novokshenov and A. A. Shchelkonogov Recovering of a potential of the Sturm-Liouville problem from finite sets of spectral data by A. M. Savchuk and A. A. Shkalikov High-velocity estimates, inverse scattering and topological effects by R. Weder

Product Details

  • ISBN13: 9781470416836
  • Format: Hardback
  • Number Of Pages: 252
  • ID: 9781470416836
  • ISBN10: 1470416832

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