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On the structure of polynomial multicorrelation sequences arising from nilpotent actions
Jovan Andreevski, Felipe Hernández
Source abstract
We prove that every polynomial multicorrelation sequence arising from nilpotent actions admits a decomposition into a generalized nilsequence and a null-sequence. This resolves a long-standing question of Frantzikinakis concerning the structure of polynomial multicorrelation sequences of commuting transformations. Our proof builds upon ideas underlying the norm convergence theorem of Walsh.
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