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Jensen measures and annihilators of holomorphic functions

Göğüş, Nihat Gökhan and Poletsky, Evgeny A. (2009) Jensen measures and annihilators of holomorphic functions. Illinois Journal of Mathematics, 53 (2). pp. 679-690. ISSN 0019-2082

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Abstract

For a relatively compact domain M in a complex manifold we completely characterize in terms of Jensen measures the annihilating measures of the algebra A(M) of holomorphic functions and the space h(M) of pluriharmonic functions continuous on M. We also establish the equivalence of Mergelyan type approximation properties of a domain for different function spaces.

Item Type:Article
Subjects:Q Science > QA Mathematics > QA299.6-433 Analysis
ID Code:15021
Deposited By:Nihat Gökhan Göğüş
Deposited On:04 Nov 2010 11:45
Last Modified:25 May 2011 14:16

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