Jarnicki, Marek, Pflung, P. 　著

内容

目次

Riemann domains - Riemann domains over Cn; holomorphic functions;examples of Riemann regions; holomorphic extension of Riemann domains; theboundary of a Riemann domain; union, intersection, and direct limit ofRiemann domains; domains of existence; maximal holomorphic extensions;liftings of holomorphic mappings I; holomorphic convexity; Riemann surfaces;pseudocenvexity - Plurisubharmonic functions; pseudoconvexity; the Kiselmanminimum principle; d-operator; solution of the Levi problem; regularsolutions; approximation; the Remmert embedding theorem; the Docquier-Grauertcriteria; the division theorem; spectrum; liftings of holomorphic mappingsII; envelopes of holomorphy for special domains - Univalent envelopes ofholomorphy; k-tubular domains; matrix Reinhardt domains; the envelope ofholomorphy of X/M; separately holomorphic functions; extension of meromorphicfunctions; existence domains of special families of holomorphic functions -special domains; the Ohsawa-Takegoshi extension theorem; the Skoda divisiontheorem; the Catlin-Hakim-Sibony theorem; structure of envelopes ofholomorphy.