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A note on holomorphic approximation in Banach spaces
Authors:László Lempert
Institution:(1) Department of Mathematics, Purdue University, West Lafayette, IN 47907-1395, USA
Abstract:Given a complex Banach space X and a holomorphic function f on its unit ball B, we discuss the problem whether f can be approximated, uniformly on smaller balls, by functions g holomorphic on all of X. Research partially supported by NSF grant DMS0700281.
Keywords: and phrases" target="_blank"> and phrases  holomorphic approximation  Banach spaces
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