On Hilbert-Hartogs manifolds
M. Anakkar, A. Zagorodnyuk
TL;DR
This paper establishes extension theorems for holomorphic mappings into complex Hilbert manifolds, advancing understanding of their structural properties.
Contribution
It provides new extension results for holomorphic maps into infinite-dimensional complex manifolds, specifically Hilbert-Hartogs manifolds.
Findings
Extension theorems for holomorphic mappings proven
Results applicable to complex Hilbert manifolds
Advances in infinite-dimensional complex analysis
Abstract
We prove some extension results for holomorphic mappings with values in complex Hilbert manifolds
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Holomorphic and Operator Theory