On Affine Maps and an Arithmetic Limit on Compact Groups
نویسندگان
چکیده
ABSTRACT. Let G be a compact connected metric abelian group equipped with its normalised Haar measure. Let Tx = a+A(x) be a continuous surjective affine map of G such that γ ≡ 1 is the only character of G satisfying γ ◦A = γ for some positive integer n. Then if φ is a polynomial with real coefficients mapping the natural numbers to themselves, (pl) ∞ l=1 is the sequence of rational primes and f is in L(G) for p > 1, we prove that
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تاریخ انتشار 2009