On time dependent orthogonal polynomials on the unit circle

Two index formulas for operators defined by infinite band matrices are proved. These results may be interpreted as a generalization of the classical theorem of M. G. Krein for orthogonal polynomials. The proofs are based on dichotomy and nonstationary inertia theory. Доведено дві формули індексу для...

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Published in:Український математичний журнал
Date:1994
Main Authors: Ben-Artzi, A., Gohberg, I.
Format: Article
Language:English
Published: Інститут математики НАН України 1994
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/152530
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On time dependent orthogonal polynomials on the unit circle / А. Ben-Artzi, I. Gohberg // Український математичний журнал. — 1994. — Т. 46, № 1-2. — С. 18–36. — Бібліогр.: 11 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine