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Idempotent measures on compact semigroups

Idempotent measures on compact semigroups

Throughout this paper, S will be a compact Hausdorff topological semigroup, S will denote the convolution semigroup of normalized non-negative regular Borel measures on S, and H will be the carrier of a measure ,u in S. The space of continuous complex valued functions on S will be denoted by …