Normal forms and embeddings for power-log transseries

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• 作者：P. Marde&scaron ; ić^a ; M. Resman^b ; J.-P. Rolin^a ; ^{rolin@u-bourgogne.fr" class="auth_mail" title="E-mail the corresponding author} ; V. Županović^b
• 关键词：34C20 ; 37C10 ; 39B12 ; 46A19 ; 28A75 ; 58K50 ; 26A12
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：5 November 2016
• 年：2016
• 卷：303
• 期：Complete
• 页码：888-953
• 全文大小：982 K

文摘

Dulac series are asymptotic expansions of first return maps in a neighborhood of a hyperbolic polycycle. In this article, we consider two algebras of power-log transseries (generalized series) which extend the algebra of Dulac series. We give a formal normal form and prove a formal embedding theorem for transseries in these algebras.