Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices
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| Creator |
Zagorodnyuk, S.M.
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| Description |
We study a Jacobi matrix J with complex numbers an, n belongs Z+, in the main diagonal such that r0 ≤ Im an ≤ r1, r0, r1 belongs Z+. We obtain an integral representation for the (generalized) spectral function of the matrix J. Themethod of our study is similar to Marchenko’s method for nonself-adjoint differential operators.
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| Date |
2010-02-02T12:55:55Z
2010-02-02T12:55:55Z 2009 |
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| Type |
Article
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| Identifier |
Integral representations for spectral functions of some nonself-adjoint Jacobi matrices / S.M. Zagorodnyuk // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 91-100. — Бібліогр.: 7 назв. — англ.
1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5696 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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