A BORG-TYPE THEOREM ASSOCIATED WITH ORTHOGONAL POLYNOMIALS ON THE UNIT CIRCLE

DOI10.1112/S0024610706023167zbMath1131.47027arXivmath/0501212OpenAlexW2102187304MaRDI QIDQ3419782

Maxim Zinchenko, Friedrich Gesztesy

Publication date: 7 February 2007

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501212

zbMATH Keywords

Schrödinger equationCarathéodory functiontrace formulasVerblunsky coefficientsdoubly infinite Cantero-Moral-Velázquez operator (CMV operator)operators associated with orthogonal polynomials on the unit circlereflectionless sequence

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Inverse problems involving ordinary differential equations (34A55) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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