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

• Date: 2018
• Main Authors: Pastur, L., Shcherbina, M.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2018
• Subjects: випадковi оператори; асимптотичнi формули слiду; граничнi теореми
• Online Access: https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/jm14-0362e
• Journal Title: Journal of Mathematical Physics, Analysis, Geometry

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...