On Biholomorphy in Infinite Dimensions |
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Authors: | Joseph A Cima Warren Wogen |
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Institution: | (1) Department of Mathematics, University of North Carolina, CB #3250, Phillips Hall, Chapel Hill, NC 27599, USA |
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Abstract: | In this article, we consider the question of when a holomorphic mapping on a domain in a complex Hilbert space into itself
has a holomorphic inverse. We give a strengthened version of a known result that involves a Fredholm condition on the mapping.
We show that holomorphic mappings on certain domains that are biholomorphic near the boundary are biholomorphic on the domain
itself.
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Keywords: | Holomorphic mappings on complex Hilbert spaces Biholomorphic mappings Fredholm operators |
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