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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| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | 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 |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862615586266152960 |
|---|---|
| author | Zagorodnyuk, S.M. |
| author_facet | Zagorodnyuk, S.M. |
| 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. |
| collection | DSpace DC |
| 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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| first_indexed | 2025-11-29T12:47:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-5696 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1029-3531 |
| language | English |
| last_indexed | 2025-11-29T12:47:28Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices Zagorodnyuk, S.M. |
| title | 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_short | Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices |
| title_sort | integral representations for spectral functions of some nonself-adjoint jacobi matrices |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/5696 |
| work_keys_str_mv | AT zagorodnyuksm integralrepresentationsforspectralfunctionsofsomenonselfadjointjacobimatrices |