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arxiv: 1206.0493 · v4 · pith:53YJXLDHnew · submitted 2012-06-03 · 🧮 math.DS · math.CV· math.PR· math.SP

Generalized Riesz Products on the Bohr compactification of R

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

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