The Inverse Spectral Problem for Jacobi-Type Pencils
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Inverse Spectral Problem for Jacobi-Type Pencils
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| Creator |
Zagorodnyuk, S.M.
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| Description |
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.
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| Date |
2019-02-19T19:31:38Z
2019-02-19T19:31:38Z 2017 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 42C05; 47B36 DOI:10.3842/SIGMA.2017.085 http://dspace.nbuv.gov.ua/handle/123456789/149264 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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