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Spectral Operator Theory and Related Topics
 
Edited by: V. A. Marchenko
Spectral Operator Theory and Related Topics
eBook ISBN:  978-1-4704-4617-8
Product Code:  ADVSOV/19.E
List Price: $136.00
MAA Member Price: $122.40
AMS Member Price: $108.80
Spectral Operator Theory and Related Topics
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Spectral Operator Theory and Related Topics
Edited by: V. A. Marchenko
eBook ISBN:  978-1-4704-4617-8
Product Code:  ADVSOV/19.E
List Price: $136.00
MAA Member Price: $122.40
AMS Member Price: $108.80
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 191994; 286 pp
    MSC: Primary 34; Secondary 35

    This collection contains papers by participants in the Seminar on Mathematical Physics in Kharkov, Ukraine. The papers mainly focus on nontraditional problems of spectral theory, such as new types of inverse problems for one-dimensional differential operators, new classes of solutions to nonlinear differential equations obtained using spectral methods, distribution of eigenvalues of large random matrices, and related problems of statistical physics of disordered systems. In addition, the papers explore the spectral aspects of homogenization and of properties of ergodic dynamical systems. All the papers contain original results published for the first time.

    Readership

    Graduate students in mathematics and researchers in spectral theory, nonlinear equations, and disordered systems.

  • Table of Contents
     
     
    • Articles
    • D. S. lundina and V. A. Marchenko — Limits of the reflectionless Dirac operator
    • M. Novitskii — Quasianalytic classes and isospectral Hill’s operators
    • V. A. Tkachenko — Discriminants and generic spectra of nonselfadjoint Hill’s operators
    • V. Ya. Golodets, A. I. Danilenko and S. I. Bezuglyi — On cocycles of ergodic dynamical systems and automorphisms compatible with them
    • A. M. Khorunzhy and L. A. Pastur — On the Eigenvalue distribution of the deformed Wigner ensemble of random matrices
    • E. Ya. Khruslov and V. P. Kotlyarov — Soliton asymptotics of nondecreasing solutions of nonlinear completely integrable evolution equations
    • I. E. Egorova — The Cauchy problem for the KdV equation with almost periodic initial data whose spectrum is nowhere dense
    • D. G. Shepel$^\prime $sky — The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions
    • E. Khruslov and L. Pankratov — Homogenization of boundary problems for the Ginzburg-Landau equation in weakly connected domains
    • B. Khoruzhenko, L. Pastur and M. Shcherbina — The infinite component limit of the random anisotropy n-vector model
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 191994; 286 pp
MSC: Primary 34; Secondary 35

This collection contains papers by participants in the Seminar on Mathematical Physics in Kharkov, Ukraine. The papers mainly focus on nontraditional problems of spectral theory, such as new types of inverse problems for one-dimensional differential operators, new classes of solutions to nonlinear differential equations obtained using spectral methods, distribution of eigenvalues of large random matrices, and related problems of statistical physics of disordered systems. In addition, the papers explore the spectral aspects of homogenization and of properties of ergodic dynamical systems. All the papers contain original results published for the first time.

Readership

Graduate students in mathematics and researchers in spectral theory, nonlinear equations, and disordered systems.

  • Articles
  • D. S. lundina and V. A. Marchenko — Limits of the reflectionless Dirac operator
  • M. Novitskii — Quasianalytic classes and isospectral Hill’s operators
  • V. A. Tkachenko — Discriminants and generic spectra of nonselfadjoint Hill’s operators
  • V. Ya. Golodets, A. I. Danilenko and S. I. Bezuglyi — On cocycles of ergodic dynamical systems and automorphisms compatible with them
  • A. M. Khorunzhy and L. A. Pastur — On the Eigenvalue distribution of the deformed Wigner ensemble of random matrices
  • E. Ya. Khruslov and V. P. Kotlyarov — Soliton asymptotics of nondecreasing solutions of nonlinear completely integrable evolution equations
  • I. E. Egorova — The Cauchy problem for the KdV equation with almost periodic initial data whose spectrum is nowhere dense
  • D. G. Shepel$^\prime $sky — The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions
  • E. Khruslov and L. Pankratov — Homogenization of boundary problems for the Ginzburg-Landau equation in weakly connected domains
  • B. Khoruzhenko, L. Pastur and M. Shcherbina — The infinite component limit of the random anisotropy n-vector model
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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