Holomorphic functions with Nash real part
Abstract
In this paper, we show that a holomorphic function, defined on an open subset D D of C n \mathbb {C}^n , is a complex Nash function if and only if its real part (or equivalently its imaginary part) is a real Nash function.
Fields of Study & Subjects
Geometry and complex manifolds
Analytic and geometric function theory
Holomorphic and Operator Theory
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 14 January 2026
- Language
- EN