منابع مشابه
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 کاملAsymptotically 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 کاملOn Fixed Points and Determining Sets for Holomorphic Automorphisms
This paper considers the number of discrete fixed points that an automorphism (biholomorphic self-map) of a complex domain or manifold can have. Our results give a geometric formulation to the problem and its solution; they generalize classical theorems in one complex
متن کاملFixed Points of Commuting Holomorphic Maps without Boundary Regularity
We identify a class of domains of C in which any two commuting holomorphic self-maps have a common fixed point.
متن کاملFixed Point Indices and Periodic Points of Holomorphic Mappings
Let ∆ be the ball |x| < 1 in the complex vector space C, let f : ∆ → C be a holomorphic mapping and let M be a positive integer. Assume that the origin 0 = (0, . . . , 0) is an isolated fixed point of both f and the M -th iteration f of f . Then for each factor m of M, the origin is again an isolated fixed point of f and the fixed point index μfm(0) of f m at the origin is well defined, and so ...
متن کاملذخیره 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: Colloquium Mathematicum
سال: 2002
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm94-1-5