Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices
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-adjoi...
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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/5696 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-5696 |
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Zagorodnyuk, S.M. 2010-02-02T12:55:55Z 2010-02-02T12:55:55Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/5696 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. en Інститут математики НАН України Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| spellingShingle |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices Zagorodnyuk, S.M. |
| title_short |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_full |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_fullStr |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_full_unstemmed |
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_sort |
integral representations for spectral functions of some nonself-adjoint jacobi matrices |
| author |
Zagorodnyuk, S.M. |
| author_facet |
Zagorodnyuk, S.M. |
| publishDate |
2009 |
| language |
English |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1029-3531 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/5696 |
| citation_txt |
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. |
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AT zagorodnyuksm integralrepresentationsforspectralfunctionsofsomenonselfadjointjacobimatrices |
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2025-11-29T12:47:28Z |
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2025-11-29T12:47:28Z |
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1850854966859661312 |