On the spectral type of some class of rank one flows
Dynamical Systems
2020-07-08 v2 Spectral Theory
Abstract
It is shown that a certain class of Riesz product type measure on is singular. This proves the singularity of the spectral types of some class of rank one flows. Our method is based on the extension of the Central Limit Theorem approach to the real line which gives a new extension of Salem-Zygmund Central Limit Theorem.
Cite
@article{arxiv.1205.5543,
title = {On the spectral type of some class of rank one flows},
author = {el Houcein el Abdalaoui},
journal= {arXiv preprint arXiv:1205.5543},
year = {2020}
}
Comments
revised version with 19 pages. Submitted for publication