Potentials on a compact Riemann surface

DOI10.1134/S0081543818040211zbMath1401.30046OpenAlexW2886817487MaRDI QIDQ1798084

Evgeni M. Chirka

Publication date: 23 October 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818040211

zbMATH Keywords

compact Riemann surfacespotentials

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (11)

POISSON-JENSEN FORMULAS AND BALAYAGE OF MEASURES ⋮ Preorders on subharmonic functions and measures with applications to the distribution of zeros of holomorphic functions ⋮ Critical measures on higher genus Riemann surfaces ⋮ Scalar equilibrium problem and the limit distribution of zeros of Hermite-Padé polynomials of type II ⋮ Evgenii Mikhailovich Chirka ⋮ Capacities on a compact Riemann surface ⋮ Meromorphic interpolation on a compact Riemann surface ⋮ Equilibrium measures on a compact Riemann surface ⋮ Existence of a three-sheeted Nutall surface for a certain class of infinite-valued analytic functions ⋮ Equivalence of a scalar and a vector equilibrium problem for a pair of functions forming a Nikishin system ⋮ The polynomial Hermite-Padé -system for meromorphic functions on a compact Riemann surface

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Harnack inequalities, Kobayashi distances and holomorphic motions
• Harmonic discs of solutions to the complex homogeneous Monge-Ampère equation
• On equilibrium problems related to the distribution of zeros of the Hermite-Padé polynomials
• On the \(\bar\partial\)-problem with \(L^2\)-estimates on a Riemann surface
• The Gonchar-Stahl $ \rho^2$-theorem and associated directions in the theory of rational approximations of analytic functions
• Distribution of the zeros of Padé polynomials and analytic continuation
• Systems of Markov functions generated by graphs and the asymptotics of their Hermite-Padé approximants
• On the equilibrium problem for vector potentials
• Hermite-Pade approximants for systems of Markov-type functions
• On Nikishin systems with discrete components and weak asymptotics of multiple orthogonal polynomials
• Hermite-Padé approximants for meromorphic functions on a compact Riemann surface
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Geometry and spectra of compact Riemann surfaces
• Notions of convexity

This page was built for publication: Potentials on a compact Riemann surface