Szegö’s theorem for Hankel determinants

DOI10.1063/1.524099zbMath0432.33008OpenAlexW2018307742MaRDI QIDQ3869624

Jeffrey S. Geronimo

Publication date: 1979

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.524099

zbMATH Keywords

spectral functionsHankel determinantsJost functionanalog of Szegö's theorem of Töeplitz determinantspolynomials orthogonal on a finite segment of the real linetechniques of inverse scattering theory

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (4)

Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Strong Szegő theorem on a Jordan curve ⋮ A short survey of some recent applications of determinants ⋮ Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

Cites Work

• On a theorem of Szegö, Kac, and Baxter
• Polynomials defined by a difference system
• Toeplitz matrices, translation kernels and a related problem in probability theory
• Fredholm determinants and multiple solitons
• Orthogonal polynomials from the viewpoint of scattering theory
• Toeplitz Determinants with Singular Generating Functions

This page was built for publication: Szegö’s theorem for Hankel determinants