Multidimensional analogue of the Laurent series expansion of a holomorphic function and related issues (Q393866)

From the text: We study an \(n\)-dimensional Laurent series \(g\) (\(n>1\)) with the property that the closed convex conical hull of its support with the vertex at \(0\in\mathbb C^n\) does not contain straight lines. It is shown that there exists a monomial holomorphic mapping \(\mathcal A:\mathbb T^n\to \mathbb T^n\) (where \(\mathbb T^n=[\mathbb C\setminus\{0\}]^n\)) such that \(f=g\circ \mathcal A\) is a power series. [\(\ldots\)] As an appliction of the results, we find a multidimentsional analogue of the Laurent series expansion of holomorphic functions.