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- W2962679143 abstract "We characterize (in almost all cases) the holomorphic selfmaps of the unit disk that intertwine two given linear fractional selfmaps of the disk. The proofs are based on iteration and a careful analysis of the Denjoy-Wolff points. In particular, we characterize the maps that commute with a given linear fractional map (in the cases that are not already known) and, as an application, determine all “roots” of such maps in the sense of iteration (if any). This yields as a byproduct a short proof of a recent theorem on the embedding of a linear fractional transformation into a semigroup of holomorphic self-maps of the disk." @default.
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- W2962679143 date "2012-01-01" @default.
- W2962679143 modified "2023-09-23" @default.
- W2962679143 title "Holomorphic self-maps of the disk intertwining two linear fractional maps" @default.
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- W2962679143 doi "https://doi.org/10.1090/conm/561/11115" @default.
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