In this paper, we discuss the Valiron＇s theorem in the unit polydisk D^N. We prove that for a holomorphic map φ：D^N→D^N satisfying some regular conditions, there exists a holomorphic map θ：D^N→H and a constant...In this paper, we discuss the Valiron＇s theorem in the unit polydisk D^N. We prove that for a holomorphic map φ：D^N→D^N satisfying some regular conditions, there exists a holomorphic map θ：D^N→H and a constant α〉 0 such that θ°φ=1/αθ. It is based on the extension of Julia-Wolff-Caratheodory （JWC） theorem of D in the polydisk.展开更多
基金Supported by the National Natural Science Foundation of China(11271359)
文摘In this paper, we discuss the Valiron＇s theorem in the unit polydisk D^N. We prove that for a holomorphic map φ：D^N→D^N satisfying some regular conditions, there exists a holomorphic map θ：D^N→H and a constant α〉 0 such that θ°φ=1/αθ. It is based on the extension of Julia-Wolff-Caratheodory （JWC） theorem of D in the polydisk.
