The Inverse Spectral Problem for Jacobi-Type Pencils
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 specia...
Збережено в:
| Дата: | 2017 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149264 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149264 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1492642019-02-20T01:23:39Z The Inverse Spectral Problem for Jacobi-Type Pencils Zagorodnyuk, S.M. 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. 2017 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Zagorodnyuk, S.M. |
| spellingShingle |
Zagorodnyuk, S.M. The Inverse Spectral Problem for Jacobi-Type Pencils Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Zagorodnyuk, S.M. |
| author_sort |
Zagorodnyuk, S.M. |
| title |
The Inverse Spectral Problem for Jacobi-Type Pencils |
| title_short |
The Inverse Spectral Problem for Jacobi-Type Pencils |
| title_full |
The Inverse Spectral Problem for Jacobi-Type Pencils |
| title_fullStr |
The Inverse Spectral Problem for Jacobi-Type Pencils |
| title_full_unstemmed |
The Inverse Spectral Problem for Jacobi-Type Pencils |
| title_sort |
inverse spectral problem for jacobi-type pencils |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149264 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT zagorodnyuksm theinversespectralproblemforjacobitypepencils AT zagorodnyuksm inversespectralproblemforjacobitypepencils |
| first_indexed |
2023-05-20T17:31:27Z |
| last_indexed |
2023-05-20T17:31:27Z |
| _version_ |
1796153493831024640 |