n=(n1,... ,nd)∈Z fn exp{2ni(n, α+ xω)}. Here α = (α1, . . . , αd) ∈ Tor, and (α + xω) ∈ Tor is the orbit of the quasiperiodic flow {S} on Tor, i.e. Sα = α + xω, −∞ < x < ∞. We shall assume that ω is Diophantine, i.e. |(ω, n)| ≥ K/|n| for positive constants γ, K, |n| = ∑d i=1 |ni| 6 = 0. The coefficients fn decay so fast that ∑ |fn| · |n| <∞ for some r > 1. Then Fα, F ′ α can be considered as va...