Polynomials with exponents in compact convex sets and associated weighted extremal functions: the Siciak-Zakharyuta theorem

DOI10.1007/S40627-024-00138-WMaRDI QIDQ6589208

Ragnar Sigurðsson, Benedikt Steinar Magnússon, Álfheiður Edda Sigurðardóttir

Publication date: 19 August 2024

Published in: Complex Analysis and its Synergies (Search for Journal in Brave)

zbMATH Keywords

polynomials of several complex variablesSiciak-Zakharyuta function

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Entire functions of several complex variables (32A15) General pluripotential theory (32U15) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35) Polynomials and rational functions of several complex variables (32A08)

Cites Work

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• Pluripotential theory and convex bodies: a Siciak-Zaharjuta theorem
• Pluripotential theory and convex bodies: large deviation principle
• Zero distribution of random sparse polynomials
• Growth properties of analytic and plurisubharmonic functions of finite order.
• Extremal plurisubharmonic functions in $C^N$
• Pluripotential theory and convex bodies
• Notions of convexity

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