• Corpus ID: 234742595

Two examples based on the properties of discrete measures

@inproceedings{Suetin2021TwoEB,
  title={Two examples based on the properties of discrete measures},
  author={Sergey Pavlovich Suetin},
  year={2021}
}
In the paper we represent two examples which are based on the properties of discrete measures. In the first part of the paper we prove that for each probability measure μ, suppμ = [−1, 1], which logarithmic potential is a continuous function on [−1, 1] there exists a (discrete) measure σ = σ(μ), suppσ = [−1, 1], with the following property. Let {Pn(x;σ)} be the sequence of polynomials orthogonal with respect to σ. Then 1 n χ(Pn(·; σ)) ∗ → μ, n → ∞, where χ(·) is zero counting measure for the… 
Maximum Principle and Asymptotic Properties of Hermite--Pad\'e Polynomials
In the paper, we discuss how it would be possible to succeed in Stahl’s novel approach, 1987–1988, to explore Hermite–Padé polynomials based on Riemann surface properties. In particular, we explore

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