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Title:Interpolation of Weighted L2 Holomorphic Functions in Higher Dimensions
Author(s):Forgacs, Tamas
Doctoral Committee Chair(s):Dror Varolin
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:This thesis considers an interpolation theorem in the setting of several complex variables. We consider a Kahler manifold X with a metric &ohgr; whose Ricci curvature is non-positive and we assume that X admits a Green's function. In this setup we give a sufficient condition for a closed smooth uniformly flat hypersurface W in X to be interpolating. Our condition is expressed in terms of a geometric density of the hypersurface which generalizes the density notion used for hypersurfaces in the Bergman ball and in n-dimensional Euclidean space.
Issue Date:2007
Type:Text
Language:English
Description:65 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
URI:http://hdl.handle.net/2142/86882
Other Identifier(s):(MiAaPQ)AAI3290235
Date Available in IDEALS:2015-09-28
Date Deposited:2007


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