**Advances in Soviet Mathematics**

1994;
286 pp;
Hardcover

MSC: Primary 34;
Secondary 35

**Print ISBN: 978-0-8218-4122-8
Product Code: ADVSOV/19**

List Price: $129.00

AMS Member Price: $103.20

MAA Member Price: $116.10

**Electronic ISBN: 978-1-4704-4617-8
Product Code: ADVSOV/19.E**

List Price: $129.00

AMS Member Price: $103.20

MAA Member Price: $116.10

# Spectral Operator Theory and Related Topics

Share this page *Edited by *
*V. A. Marchenko*

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

## Spectral Operator Theory and Related Topics

- Cover Cover11
- Title page v6
- Contents vii8
- Preface ix10
- Limits of the reflectionless Dirac operator 112
- Quasianalytic classes and isospectral Hill’s operators 2738
- Discriminants and generic spectra of nonselfadjoint Hill’s operators 4152
- On cocycles of ergodic dynamical systems and automorphisms compatible with them 7384
- On the Eigenvalue distribution of the deformed Wigner ensemble of random matrices 97108
- Soliton asymptotics of nondecreasing solutions of nonlinear completely integrable evolution equations 129140
- The Cauchy problem for the KdV equation with almost periodic initial data whose spectrum is nowhere dense 181192
- The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions 209220
- Homogenization of boundary problems for the Ginzburg-Landau equation in weakly connected domains 233244
- The infinite component limit of the random anisotropy n-vector model 269280
- Back Cover Back Cover1298