6533b862fe1ef96bd12c62d6
RESEARCH PRODUCT
A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables
Paul M. GauthierJavier FalcóMyrto ManolakiVassili Nestoridissubject
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 planeMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-04 |