A New Life of the Classical Szegő Formula

DOI10.1007/978-3-030-74417-5_5zbMath1504.30004OpenAlexW3216165775MaRDI QIDQ5052085

Roman Bessonov, Sergey A. Denisov

Publication date: 21 November 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-74417-5_5

zbMATH Keywords

orthogonal polynomialsWiener-Hopf operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Polynomials and rational functions of one complex variable (30C10) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Cites Work

• A spectral Szegő theorem on the real line
• Zero sets, entropy, and pointwise asymptotics of orthogonal polynomials
• Szegő condition and scattering for one-dimensional Dirac operators
• Wiener--Hopf operators admit triangular factorization