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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00703137
Contributor : El Houcein El Abdalaoui <>
Submitted on : Tuesday, June 5, 2012 - 12:11:58 PM
Last modification on : Tuesday, February 5, 2019 - 11:44:10 AM
Long-term archiving on : Thursday, December 15, 2016 - 10:31:34 AM

Files

Bohr-RieszProducts-arh.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00703137, version 4

Collections

Citation

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

Share

Metrics

Record views

154

Files downloads

78