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періодичних видань НАН України
періодичних видань НАН України
The Inverse Spectral Problem for Jacobi-Type Pencils
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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| dc.contributor.author | Zagorodnyuk, S.M. | |
| dc.date.accessioned | 2019-02-19T19:31:38Z | |
| dc.date.available | 2019-02-19T19:31:38Z | |
| dc.date.issued | 2017 | |
| dc.identifier.citation | The Inverse Spectral Problem for Jacobi-Type Pencils / S.M. Zagorodnyuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 16 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 42C05; 47B36 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2017.085 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/149264 | |
| dc.description.abstract | In this paper we study the inverse spectral problem for Jacobi-type pencils. By a Jacobi-type pencil we mean the following pencil J₅−λJ₃, where J₃ is a Jacobi matrix and J₅ is a semi-infinite real symmetric five-diagonal matrix with positive numbers on the second subdiagonal. In the case of a special perturbation of orthogonal polynomials on a finite interval the corresponding spectral function takes an explicit form. | uk_UA |
| dc.description.sponsorship | This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications (OPSFA14). The full collection is available at https://www.emis.de/journals/SIGMA/OPSFA2017.html. The author is grateful to referees for their valuable comments and suggestions which led to an essential improvement of the paper. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | The Inverse Spectral Problem for Jacobi-Type Pencils | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
