Envelopes of holomorphy for bounded holomorphic functions

Envelopes of holomorphy for bounded holomorphic functions

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 poi...

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Bibliographic Details
Main Author: Backlund, Ulf
Format: Doctoral Thesis
Language:English
Published: Umeå universitet, Institutionen för matematik och matematisk statistik 1992
Subjects:
holomorphicfunction
boundedholomorphic function
domain of holo¬ morphy
envelope of holomorphy
Gleason’s problem
convex set
plurisubharmonic function
pluripolar set
poly normally convex set
Mathematics
Matematik
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-141155
http://nbn-resolving.de/urn:isbn:91-7174-677-3

Internet

http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-141155
http://nbn-resolving.de/urn:isbn:91-7174-677-3

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