Transfinite diameter with generalized polynomial degree

DOI10.1007/s11118-020-09843-7zbMath1460.32074arXiv1904.08589OpenAlexW3025441452MaRDI QIDQ2660174

Sione Ma'u

Publication date: 29 March 2021

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08589

zbMATH Keywords

convex bodysubmultiplicative functionChebyshev constanttransfinite diameterChebyshev transformpolynomial degree

Mathematics Subject Classification ID

General pluripotential theory (32U15) Capacity theory and generalizations (32U20)

Related Items (1)

Transfinite diameter on the graph of a polynomial mapping and the DeMarco-Rumely formula

Cites Work

• Fekete points and convergence towards equilibrium measures on complex manifolds
• Growth of balls of holomorphic sections and energy at equilibrium
• Polynomial interpolation of holomorphic functions in \(\mathbb{C}\) and \(\mathbb{C}^ n\)
• Bernstein-Walsh theory associated to convex bodies and applications to multivariate approximation theory
• Zero distribution of random sparse polynomials
• TRANSFINITE DIAMETER, ČEBYŠEV CONSTANTS, AND CAPACITY FOR COMPACTA IN $ \mathbf{C}^n$
• Pluripotential theory and convex bodies
• Weighted pluripotential theory in C N
• Transforming metrics on a line bundle to the Okounkov body
• Multivariate polynomial approximation in the hypercube
• Unnamed Item

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