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Article Dans Une Revue Annales de l'Institut Fourier Année : 2008

Analysis of two step nilsequences

Bryna Kra
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Résumé

Nilsequences arose in the study of the multiple ergodic averages associated to Furstenberg's proof of Szemeredi's Theorem and have since played a role in problems in additive combinatorics. Nilsequences are a generalization of almost periodic sequences and we study which portions of the classical theory for almost periodic sequences can be generalized for two step nilsequences. We state and prove basic properties for two step nilsequences and give a classification scheme for them.
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Dates et versions

hal-00693083 , version 1 (01-05-2012)

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  • HAL Id : hal-00693083 , version 1

Citer

Bernard Host, Bryna Kra. Analysis of two step nilsequences. Annales de l'Institut Fourier, 2008, 58 (5), pp.1407--+. ⟨hal-00693083⟩
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