Uniformity of Strong Asymptotics in Angelesco Systems

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2025
• Main Author: Yattselev, Maxim L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2025
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/213196
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Uniformity of Strong Asymptotics in Angelesco Systems. Maxim L. Yattselev. SIGMA 21 (2025), 033, 41 pages

Let ₁ and ₂ be two complex-valued Borel measures on the real line such that supp μ₁ = [α₁, ₁] < supp ₂ = [α₂, ₂] and dᵢ()=−ᵢ()d/2πi, where ᵢ() is the restriction to [αᵢ, ᵢ] of a function non-vanishing and holomorphic in some neighborhood of [αᵢ, ᵢ]. Strong asymptotics of multiple orthogonal p...