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arXiv · 1901.01339

A function algebra providing new Mergelyan type theorems in several complex variables

Javier Falcó·Paul M. Gauthier·Myrto Manolaki·Vassili Nestoridis
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Abstract

For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions.

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Javier Falcó, Paul M. Gauthier, Myrto Manolaki, Vassili Nestoridis. 2019-01-04. A function algebra providing new Mergelyan type theorems in several complex variables. https://arxiv.org/abs/1901.01339

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