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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

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