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- W2117864118 abstract "Theorems are proved on conjugacy of mappings in a neighborhood of a fixed point, under the assumption of formal conjugacy. In constrast to a well-known theorem of Sternberg, we assume the existence of a linear approximation of points of the spectrum on the unit circle and at zero. We establish theorems on conjugacy in a subgroup of the group of diffeomorphisms, and give conditions for the existence of local solutions of more general functional equations. A fixed-point principle is used in the proof. Bibliography: 14 items." @default.
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- W2117864118 date "1973-04-30" @default.
- W2117864118 modified "2023-10-17" @default.
- W2117864118 title "FUNCTIONAL EQUATIONS AND LOCAL CONJUGACY OF MAPPINGS OF CLASS $C^{infty}$" @default.
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- W2117864118 doi "https://doi.org/10.1070/sm1973v020n04abeh002001" @default.
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