A unified approach to the theory of separately holomorphic mappings

Details A unified approach to the theory of separately holomorphic mappings A unified approach to the theory of separately holomorphic mappings

2007-04-06

arxiv.org/abs/0704.0897v2

Mathematics

Complex Variables

54 pages, preprint of the ICTP, Trieste, Italy (2007). I have added some minor explanations, corrections and changes

Scientific paper

We extend the theory of separately holomorphic mappings between complex analytic spaces. Our method is based on Poletsky theory of discs, Rosay Theorem on holomorphic discs and our recent joint-work with Pflug on cross theorems in dimension 1. It also relies on our new technique of conformal mappings and a generalization of Siciak's relative extremal function. Our approach illustrates the unified character: ``From local informations to global extensions". Moreover, it avoids systematically the use of the classical method of doubly orthogonal bases of Bergman type.

Affiliated with

Also associated with

No associations

Rating

A unified approach to the theory of separately holomorphic mappings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A unified approach to the theory of separately holomorphic mappings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A unified approach to the theory of separately holomorphic mappings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-700010