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On isometries of Hardy spaces on compact abelian groups

On isometries of Hardy spaces on compact abelian groups

Let Hp (m), 0 < p ^ oo, be the Hardy spaces on a quotient K of the Bohr group.In this paper we completely determine the isometries of H p {m), p Φ 2, onto itself.Our result is a generalization of a recent work of Muhly who determined the isometries …