Generalized Riesz Products on the Bohr compactification of $\mathbb{R}$

Abstract

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

arXiv comment16 pages. Accepted for publication