Linearization of holomorphic germs with quasi-Brjuno fixed points

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Holomorphic Motions, Fatou Linearization, and Quasiconformal Rigidity for Parabolic Germs

By applying holomorphic motions, we prove that a parabolic germ is quasiconformal rigid, that is, any two topologically conjugate parabolic germs are quasiconformally conjugate and the conjugacy can be chosen to be more and more near conformal as long as we consider these germs defined on smaller and smaller neighborhoods. Before to prove this theorem, we use the idea of holomorphic motions to ...

متن کامل

The dynamics of holomorphic germs near a curve of fixed points

One of the interesting areas in the study of the local dynamics in several complex variables is the dynamics near the origin O of maps tangent to the identity, that is of germs of holomorphic self-maps f : n → n such that f (O) = O and d fO = id. When n = 1 the dynamics is described by the known Leau–Fatou flower theorem but when n > 1, we are still far from understanding the complete picture, ...

متن کامل

Fixed Points and Periodic Points of Semiflows of Holomorphic Maps

Let φ be a semiflow of holomorphic maps of a bounded domain D in a complex Banach space. The general question arises under which conditions the existence of a periodic orbit of φ implies that φ itself is periodic. An answer is provided, in the first part of this paper, in the case in which D is the open unit ball of a J∗-algebra and φ acts isometrically. More precise results are provided when t...

متن کامل

Asymptotically Conformal Fixed Points and Holomorphic Motions

The term integrable asymptotically conformal at a point for a quasiconformal map defined on a domain is defined. Furthermore, we prove that there is a normal form for this kind attracting or repelling or superattracting fixed point with the control condition under a quasiconformal change of coordinate which is also asymptotically conformal at this fixed point. The change of coordinate is essent...

متن کامل

Quasi Contraction and Fixed Points

In this note, we establish and improve some results on fixed point theory in topological vector spaces. As a generalization of contraction maps, the concept of quasi contraction multivalued maps on a topological vector space will be defined. Further, it is shown that a quasi contraction and closed multivalued map on a topological vector space has a unique fixed point if it is bounded value.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2009

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-009-0493-z