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

Falcó, Javier; Gauthier, Paul Montpetit; Manolaki, Myrto; Nestoridis, Vassili

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Date

2019-02-11

MFO Scientific Program

Research in Pairs 2018

Series

Oberwolfach Preprints;2019,02

Author

Falcó, Javier

Gauthier, Paul Montpetit

Manolaki, Myrto

Nestoridis, Vassili

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OWP-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.

Mathematics Subject Classification (MSC)

32 • 46 • 30

DOI

10.14760/OWP-2019-02

Collections

2019

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