Uniformity of Strong Asymptotics in Angelesco Systems

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2025
• 1. Verfasser: Yattselev, Maxim L.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2025
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/213196
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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...