Multiple correlation sequences and nilsequences
نویسندگان
چکیده
منابع مشابه
Nilsequences, null-sequences, and multiple correlation sequences
A (d-parameter) basic nilsequence is a sequence of the form ψ(n) = f(ax), n ∈ Z, where x is a point of a compact nilmanifold X, a is a translation on X, and f ∈ C(X); a nilsequence is a uniform limit of basic nilsequences. If X = G/Γ be a compact nilmanifold, Y is a subnilmanifold of X, (g(n))n∈Zd is a polynomial sequence in G, and f ∈ C(X), we show that the sequence φ(n) = R g(n)Y f is the sum...
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ژورنال
عنوان ژورنال: Inventiones mathematicae
سال: 2015
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-015-0579-7