Rapidly convergent iteration method for simultaneous normal forms of commuting maps |
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| Authors: | Todor Gramchev Masafumi Yoshino |
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| Affiliation: | (1) Dipartimento di Matematica, Università di Cagliari, via Ospedale 72, I-09124 Cagliari, Italia (e-mail: todor@vaxcA1.unica.it) , IT;(2) Department of Mathematics, Chuo University, Higashinakano Hachioji, Tokyo 192-0393, Japan (e-mail: yoshinom@tamacc.chuo-u.ac.jp) , JP |
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| Abstract: | We propose a new rapidly convergent iteration scheme under weak simultaneous arithmetic conditions for overdetermined systems related to simultaneous conjugation of commuting maps. The first application is for commuting holomorphic maps in fixing the origin, not necessarily diffeomorphisms if . The second one is for orientation preserving Gevrey circle mappings by means of nonlinear superposition estimates. Received January 7, 1998; in final form July 28, 1998 |
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