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arxiv: 1901.01339 · v1 · pith:P7ECEJGNnew · submitted 2019-01-04 · 🧮 math.CV · math.CA· math.FA

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

Javier Falc\'o , Paul M. Gauthier , Myrto Manolaki , Vassili Nestoridis This is my paper
classification 🧮 math.CV math.CAmath.FA
keywords compactmergelyansetstheoremstypealgebraallowscomplex
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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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