This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in H.Brolin' theorem incidentally.
基金Project Supported by the National Natural Science Foundation of China(10471048)the Research Fund for the Doctoral Program of Higher Education(20050574002)
文摘This article studies the inverse image of rational functions. Several theorems are obtained on the Julia set expressed by the inverse image, and a mistake is pointed out in H.Brolin' theorem incidentally.