Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures

DOI10.1007/978-3-0348-0142-3_4zbMath1253.31001arXiv0912.4650OpenAlexW2111295913MaRDI QIDQ2911817

Rikard Bøgvad, Jan-Erik Björk, Julius Borcea

Publication date: 3 September 2012

Published in: Notions of Positivity and the Geometry of Polynomials (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4650

zbMATH Keywords

subharmonic functionpiecewise analytic functionspositive Cauchy transforms

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (4)

Critical measures for vector energy: global structure of trajectories of quadratic differentials ⋮ Zero distribution for Angelesco Hermite–Padé polynomials ⋮ Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials ⋮ Spectral curves, variational problems and the Hermitian matrix model with external source

Cites Work

• On polynomial eigenfunctions for a class of differential operators
• Piecewise harmonic subharmonic functions and positive Cauchy transforms
• Some properties of the Riesz charge associated with a \(\delta\)- subharmonic function
• Sub and supersolutions for semilinear elliptic equations on all of \(\mathbb{R}^ n\)
• Computation of the dual of a plane projective curve
• Maximum Principles for Subharmonic Functions Via Local Semi-Dirichlet Forms
• Notions of convexity
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