English

Generalized Riesz Products on the Bohr compactification of $\R$

Dynamical Systems 2014-12-22 v4 Complex Variables Probability Spectral Theory

Abstract

We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on R\R. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular generalized Riesz products on the Bohr compactification of R\R. Moreover, we discuss the problem of the flat polynomials in this setting.

Keywords

Cite

@article{arxiv.1206.0493,
  title  = {Generalized Riesz Products on the Bohr compactification of $\R$},
  author = {El Houcein El Abdalaoui},
  journal= {arXiv preprint arXiv:1206.0493},
  year   = {2014}
}

Comments

16 pages. Accepted for publication