A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables

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Date
2019-02-11MFO Scientific Program
Research in Pairs 2018Series
Oberwolfach Preprints;2019,02Author
Falcó, Javier
Gauthier, Paul Montpetit
Manolaki, Myrto
Nestoridis, Vassili
Metadata
Show full item recordOWP-2019-02
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.