Preprints, Working Papers, ... Year : 2012

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

Abstract

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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Dates and versions

hal-00703137 , version 1 (31-05-2012)
hal-00703137 , version 2 (03-06-2012)
hal-00703137 , version 3 (03-06-2012)
hal-00703137 , version 4 (05-06-2012)

Identifiers

  • HAL Id : hal-00703137 , version 4

Cite

El Houcein El Abdalaoui. Generalized Riesz Products on the Bohr compactification of $\R$. 2012. ⟨hal-00703137v4⟩
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