PageHeader : Funkcialaj Ekvacioj, 17 (1974), 107-156
Title : On the Iteration of Holomorphic Mappings
AuthorInfo : By Kyoichi TAKANO
AuthorInfo : (University of Tokyo)
subsection : ��0. Introduction.
section : Chapter I. Formal theory, general case.
subsection : ��1. Formal reduction to a mapping with polynomial form.
subsection : ��2. Further reduction by a change of variables of singular type.
section : Chapter $\mathrm{I}\mathrm{I}$ . Formal theory, special case
subsection : ��3. Formal solution for equation (E) and its inverse.
subsection : ��4. Formal complex analytic iterate.
subsection : ��5. Formal solution of equation $(\mathrm{E}^{\prime})$ .
section : Chapter $\mathrm{I}\mathrm{I}\mathrm{I}$ Analytic theory
subsection : ��6. Existence of an analytic solution of equation $(\mathrm{E}^{\prime})$ .
subsection : ��7. Existence theorem for equations $(\mathrm{E}^{\prime})_{N}$ , $N=1,2$ , $\cdots$ .
subsection : ��8. Uniqueness theorem for equations $(\mathrm{E}^{\prime})_{N}$ , $N=1,2$ , $\cdots$ .
subsection : ��9. Proof of Theorem 6. 1.
subsection : ��10. Extension of the domain.
subsection : ��11. Analytic inverse of $(\Phi,\Psi)$ .
subsection : ��12. Existence of analytic solutions of $\mathrm{E}$ and their inverses.
section : References