Under the moderate growth condition, Joris's power theorem holds for Denjoy-Carleman classes: coprime powers that are C_M force the function itself to be C_M.
, Smooth solutions of quasianalytic or ultraholomorphic equ ations, Monatsh
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Functions with ultradifferentiable powers
Under the moderate growth condition, Joris's power theorem holds for Denjoy-Carleman classes: coprime powers that are C_M force the function itself to be C_M.