Siciak's extremal function in complex and real analysis

• Autorzy: W. Pleśniak
• Języki publikacji: EN

Abstrakty

EN

The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.

Kategorie tematyczne

• 32B20: Semi-analytic sets and subanalytic sets
• 32U35: Pluricomplex Green functions
• 32E30: Holomorphic and polynomial approximation, Runge pairs, interpolation
• 37F10: Polynomials; rational maps; entire and meromorphic functions
• 14P15: Real analytic and semianalytic sets
• 14P10: Semialgebraic sets and related spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 80
• Numer: 1
• Strony: 37-46

Daty

wydano

2003

Twórcy

autor

W. Pleśniak

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap80-0-2