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Search: MSC category 32E20 ( Polynomial convexity )

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1. CMB Online first

Bayart, Frédéric; Gauthier, Paul M
Functions universal for all translation operators in several complex variables
We prove the existence of a (in fact many) holomorphic function $f$ in $\mathbb{C}^d$ such that, for any $a\neq 0$, its translations $f(\cdot+na)$ are dense in $H(\mathbb{C}^d)$.

Keywords:hypercyclic operator, translation operator
Categories:47A16, 32E20

2. CMB 2010 (vol 54 pp. 370)

Stout, Edgar Lee
Manifold-Valued Holomorphic Approximation
This note considers the problem of approximating continuous maps from sets in complex spaces into complex manifolds by holomorphic maps.


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