Search results for "Several complex variables"

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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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Estimates for the first and second Bohr radii of Reinhardt domains

2004

AbstractWe obtain general lower and upper estimates for the first and the second Bohr radii of bounded complete Reinhardt domains in Cn.

Power seriesMathematics(all)Numerical AnalysisMathematics::Complex VariablesUnconditional basisGeneral MathematicsApplied MathematicsMathematical analysisBanach spacePower seriesPolynomialsBohr modelsymbols.namesakeBanach spacesBohr radiiBounded functionSeveral complex variablessymbolsSeveral complex variablesAnalysisMathematicsJournal of Approximation Theory
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