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Holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds

Published online by Cambridge University Press:  14 July 2006

Alexander Brudnyi
Alexander Brudnyi
Affiliation:
Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, Alberta T2N 1N4, Canadaalbru@math.ucalgary.ca
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Abstract

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We apply the methods developed in our previous work to study holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds. In particular, we extend and strengthen certain results of Gromov, Henkin and Shubin on holomorphic $L^{2}$ functions on coverings of pseudoconvex manifolds in the case of coverings of Stein manifolds.

Keywords

coveringpeak pointstrictly pseudoconvex setsBanach vector bundle46E15 (primary)32T1532T40 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 142 , Issue 4 , July 2006 , pp. 1018 - 1038
Copyright
Foundation Compositio Mathematica 2006