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Continuation of L2-holomorphic functions
Authors:Marius A. S. Irgens
Affiliation:(1) Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
Abstract:Let OHgr be a bounded domain in Cn and let L2h(OHgr) be the L2-holomorphic functions on OHgr. We show that the envelope of holomorphy and the L2h(OHgr)-envelope of holomorphy of OHgr differ by at most a pluripolar set.Mathematics Subject Classification (2000): 32D10, 32A36, 32U30This article is based on work the author did during his Ph.D. studies at the University of Michigan under the supervision of John Erik Fornæss.
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