A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Gharakhloo, Roozbeh, Its, Alexander
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211020
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants. Roozbeh Gharakhloo and Alexander Its. SIGMA 16 (2020), 100, 47 pages

In this paper, we will formulate 4×4 Riemann-Hilbert problems for Toeplitz+Hankel determinants and the associated system of orthogonal polynomials, when the Hankel symbol is supported on the unit circle and also when it is supported on an interval [a, b], 0 < a < b < 1. The dist...