Iteration of analytic mappings of several complex variables

Mappings by Means of Systems of Analytic Functions of Several Complex Variables

(i.2) m**d(ju--, / * )M*I , •••,**) is different from zero at each point of D (Carathéodory [12]). An analytic mapping T is called an inner mapping of a domain D if TDQD. It is called an automorphism olDHT is 1-1 and if TD=D. In 1907 Poincaré [17] showed that, given two domains D and D', it is not always possible to map D onto D analytically. Since that time, several general problems have been ...

Several Complex Variables and Analytic Spaces

D’Angelo, John P. Inequalities from complex analysis. (English summary) 2003e:32001 Fritzsche, Klaus (with Grauert, Hans) From holomorphic functions to complex manifolds. (English summary) 2003g:32001 Grauert, Hans see Fritzsche, Klaus, 2003g:32001 (Nakamura, Shu Gilbert) see Ohsawa, Takeo, 2003d:32001 Ohsawa, Takeo Analysis of several complex variables. (English summary) 2003d:32001 Range, R. ...

Kernel Convergence and Biholomorphic Mappings in Several Complex Variables

We deal with kernel convergence of domains in Cn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem, and the kernel convergence. Moreover, we obtain certain consequences of this equivalence in the study of Loewner chains and of starlike and co...

Analytic Combinatorics in Several Variables

Dedication To the memory of Philippe Flajolet, on whose shoulders stands all of the work herein.

Complex Analytic Mappings