Sökning: "poly normally convex set"

Hittade 1 avhandling innehållade orden poly normally convex set.

1. 1. Envelopes of holomorphy for bounded holomorphic functions

   Författare :Ulf Backlund; Umeå universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; holomorphicfunction; boundedholomorphic function; domain of holo¬ morphy; envelope of holomorphy; Gleason’s problem; convex set; plurisubharmonic function; pluripolar set; poly normally convex set;

   Sammanfattning : Some problems concerning holomorphic continuation of the class of bounded holo­morphic functions from bounded domains in Cn that are domains of holomorphy are solved. A bounded domain of holomorphy Ω in C2 with nonschlicht H°°-envelope of holomorphy is constructed and it is shown that there is a point in D for which Glea­son’s Problem for H°°(Ω) cannot be solved. LÄS MER