0000000001157193

AUTHOR

Myrto Manolaki

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

2019

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.

Condensed Matter::Quantum GasesPolynomialContinuous functionMathematics - Complex VariablesGeneral Mathematics010102 general mathematicsHolomorphic functionFunction (mathematics)01 natural sciencesIndexed familyFunctional Analysis (math.FA)Mathematics - Functional AnalysisAlgebraCompact spaceMathematics - Classical Analysis and ODEs0103 physical sciencesSeveral complex variablesClassical Analysis and ODEs (math.CA)FOS: Mathematics32A38 (Primary) 46G20 30E10 (Secondary)010307 mathematical physics0101 mathematicsComplex Variables (math.CV)Complex planeMathematics
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