Polynomial interpolation of holomorphic functions in \(\mathbb{C}\) and \(\mathbb{C}^ n\)
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Publication:1201196
DOI10.1216/rmjm/1181072740zbMath0763.32009OpenAlexW2091526889MaRDI QIDQ1201196
Publication date: 17 January 1993
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/rmjm/1181072740
Moment problems and interpolation problems in the complex plane (30E05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)
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Cites Work
- Unnamed Item
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- A new capacity for plurisubharmonic functions
- The distribution of extreme points in best complex polynomial approximation
- A characteristic of points in \({\mathbb{R}}^ 2\) having Lebesgue function of polynomial growth
- On the convergence of multivariable Lagrange interpolants
- Sur certaines suites liées aux ensembles plans et leur application à la représentation conforme
- The Complex Equilibrium Measure of a Symmetric Convex Set in R n
- On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables
- Extremal plurisubharmonic functions in $C^N$
- Plurisubharmonic measures and capacities on complex manifolds
- TRANSFINITE DIAMETER, ČEBYŠEV CONSTANTS, AND CAPACITY FOR COMPACTA IN $ \mathbf{C}^n$
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