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.
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