Published online by Cambridge University Press: 09 April 2009
Throughout this paper G denotes an infinite compact connected Hausdorff Abelian group with character group X. Given a map of α X into itself, we are concerned with the set of a, ∈ G such that the function ϕa ∈ l∞ (X) defined by is a multiplier of type (þ, þ), where it can be assumed without loss of generality that 1 ≤ þ < ∞.