Szegö-Type Theorems for One-Dimensional Schrödinger Operator with Random Potential (Smooth Case)

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2018
• Main Authors: Pastur, L., Shcherbina, M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/145879
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Szegö-Type Theorems for One-Dimensional Schrödinger Operator with Random Potential (Smooth Case) / L. Pastur, M. Shcherbina // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 3. — С. 362-388. — Бібліогр.: 29 назв. — англ.

The paper is a continuation of work [15] in which the general setting for analogs of the Szegö theorem for ergodic operators was given and several interesting cases were considered. Here we extend the results of [15] to a wider class of test functions and symbols which determine the Szegö-type asymp...