Biholomorhically invariant metrics are important tools in Several Complex Variables which generalize Hermitian metrics and are particularly adapted for the study of holomorphic maps and function spaces. The Carath́eodory ...
This thesis involves the extension behavior of holomorphic functions in several variables, and the corresponding extension problem for CR functions defined on a real hypersurface of a complex manifold. However, the extension ...
One of the most powerful results in complex analysis is The Riemann Mapping Theorem which states that every non-empty simply connected domain in the complex plane which is not the entire ₵ is biholomorphically equivalent ...
Initiated by Riemann and Hilbert, the method of analytic discs is a powerful technique in Several Complex Variables. Such invariants are indeed particularly adapted to the study of CR extension, boundary extension of ...