Add to ORKGAs models of strictly pseudoconvex domains, we consider holomorphic functions on the unit ball $\ball{n}=\{z\in\C^n:|z|<1\}$. In particular, we focus on proper holomorphic maps $\ball{n}\to\ball{N}$. In the equidimensional case $N=n$, proper holomorphic maps are automorphisms. We discuss the parameters associated to automorphisms, and more generally involutions and their higher-order analogues.We then define the mixed spaces $\ball{n,k}=\{(z,s)\in\C^n\times\R^k:|z|^2+|s|^2<1\}$, and address similar questions regarding proper maps, automorphisms, and involutions in the new setting. In particular, we show how to recover the parameters that determine an automorphism of $\ball{n,k}$ using the germ at $z=0$. We also specify necessary conditions ...
AbstractWe survey results arising from the study of domains in Cn with non-compact automorphism grou...
In order to study the forward or backward iteration of a holomorphic self-map \(f\) of a complex m...
This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the expon...
This thesis covers two themes. The first begins by evaluating the width of unit balls in Banach spac...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46216/1/208_2005_Article_BF01351851.pd
A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\...
A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\...
We prove a generalisation of Rudin’s theorem on proper holomorphic maps from the unit ball to the ca...
In this dissertation, the proper rational holomorphic maps from n-ball into (3n-2)-ball have been st...
In an important development of several complex variables, Poincare [26] discovered that any biholomo...
In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the un...
AbstractAny rational map f is induced on the Riemann sphere by a homogeneous non-degenerate polynomi...
Of the topics we initially proposed for study, we spent most of our time considering holomorphic map...
In order to study the forward or backward iteration of a holomorphic self-map \(f\) of a complex m...
We study a relationship between rational proper maps of balls in different dimensions and strictly p...
AbstractWe survey results arising from the study of domains in Cn with non-compact automorphism grou...
In order to study the forward or backward iteration of a holomorphic self-map \(f\) of a complex m...
This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the expon...
This thesis covers two themes. The first begins by evaluating the width of unit balls in Banach spac...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46216/1/208_2005_Article_BF01351851.pd
A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\...
A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\...
We prove a generalisation of Rudin’s theorem on proper holomorphic maps from the unit ball to the ca...
In this dissertation, the proper rational holomorphic maps from n-ball into (3n-2)-ball have been st...
In an important development of several complex variables, Poincare [26] discovered that any biholomo...
In this paper, we establish Lipschitz conditions for the norm of holomorphic mappings between the un...
AbstractAny rational map f is induced on the Riemann sphere by a homogeneous non-degenerate polynomi...
Of the topics we initially proposed for study, we spent most of our time considering holomorphic map...
In order to study the forward or backward iteration of a holomorphic self-map \(f\) of a complex m...
We study a relationship between rational proper maps of balls in different dimensions and strictly p...
AbstractWe survey results arising from the study of domains in Cn with non-compact automorphism grou...
In order to study the forward or backward iteration of a holomorphic self-map \(f\) of a complex m...
This thesis is concerned with a conjecture of Zilber: that the complex field expanded with the expon...