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MR2145053 (2006c:37039) 37E10 (30C30 37F10 54C20)
Abikoff, William; Earle, Clifford J.; Mitra, Sudeb Barycentric extensions of monotone maps of the circle. In the tradition of Ahlfors and Bers, III, 1--20, Contemp. Math., 355, Amer. Math. Soc., Providence, RI, 2004.
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