Holomorphic Function Theory in Several Variables: An Introduction

Elementary local properties of holomorphic functions of several complex variables.- Currents and complex structures.- The Bochner-Martinelli-Koppelman kernel and formula applications.- Extensions of CR functions.- Extensions of holomorphic and CR functions on manifolds.- Domains of holomorphy and pseudoconvexity.- The Levi problem and the resolution of  in strictly pseudoconvex domains.- Characterisation of removable singularities of CR functions on a strictly pseudoconvex boundary.- Appendices.