On time-dependent orthogonal polynomials on the unit circle

DOI10.1007/BF01056998zbMath0829.47022OpenAlexW1981929866MaRDI QIDQ1899471

Israel Gohberg, Asher Ben-Artzi

Publication date: 2 November 1995

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056998

zbMATH Keywords

orthogonal polynomialsdichotomyindex formulasnonstationary inertia theoryoperators defined by infinite band matrices

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• Non-compact integral operators with semi-separable kernels and their discrete analogues: Inversion and Fredholm properties
• On two theorems of M. G. Krein concerning polynomials orthogonal on the unit circle
• Inertia theorems for nonstationary discrete systems and dichotomy
• Dichotomies for linear difference equations
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