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arXiv · 2507.17387

Holomorphic functions with Nash real part

Antonio Carbone
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Abstract

In this paper we show that a holomorphic function, defined on an open subset $D$ of $\mathbb{C}^n$, is a complex Nash function if and only if its real part (or equivalently its imaginary part) is a real Nash function.

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Antonio Carbone. 2025-07-23. Holomorphic functions with Nash real part. https://arxiv.org/abs/2507.17387

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