Year: 2026
Type: preprint
Abstract: We show that an arc-analytic subanalytic function on a complex manifold M, which is holomorphic near one point, is a holomorphic function on M. More generally, an arc-analytic subanalytic function on a real analytic CR-manifold M, which is CR on a nonempty open subset of M, is a CR-function on the whole M.
Source: arXiv (Cornell University)
Authors: Adamus, Janusz, Shafikov, Rasul
Institution: Western University
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7143459371
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