Pluripotential theory and convex bodies: a Siciak-Zaharjuta theorem

DOI10.1007/S40315-020-00345-6zbMath1458.32028arXiv1911.03756OpenAlexW2984989357MaRDI QIDQ2228037

Turgay Bayraktar, S. Hussung, M. Perera, Norman Levenberg

Publication date: 16 February 2021

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.03756

zbMATH Keywords

convex body\(P\)-extremal function

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) General pluripotential theory (32U15)

Related Items (4)

Unnamed Item ⋮ A transformation rule associated with \(P\)-extremal functions and holomorphic mappings ⋮ Correction/Addendum to “The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation” (Ann. Polon. Math. 123 (2019), 171–195) ⋮ Polynomials associated to non-convex bodies

Cites Work

• Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory
• Pluripotential theory and convex bodies: large deviation principle
• Zero distribution of random sparse polynomials
• Zeros of random polynomials on \(\mathbb C^m\)
• Extremal plurisubharmonic functions in $C^N$
• Pluripotential theory and convex bodies
• Weighted pluripotential theory in C N
• Regularity of certain sets in Cⁿ
• Unnamed Item
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