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.
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| Date: | 1994 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
1994
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.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. |