A holomorphic extension theorem from a fractal hypersurface in ℂ²

Abstract:

We consider the problem of identifying boundary values of holomorphic functions on bounded domains in ℂ2. We use the quaternionic analysis techniques to extending the CR structure to a pure function theoretical nature. The advantage of our procedure lies in the fact that it also runs for domains with fractal boundary. © 2007 Springer-Verlag.

Año de publicación:

2007

Keywords:

• Holomorphic functions
• Quaternionic analysis
• CR-functions

Fuente:

scopus