To the spectral theory of the Bessel operator on finite interval and half-line
The minimal and maximal operators generated by the Bessel differential expression on the finite interval and a half-line are studied. All non-negative self-adjoint extensions of the minimal operator are described. Also we obtain a description of the domain of the Friedrichs extension of the minimal...
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| Опубліковано в: : | Український математичний вісник |
|---|---|
| Дата: | 2015 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/124494 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | To the spectral theory of the Bessel operator on finite interval and half-line / A.Yu. Ananieva, V.S. Budyika // Український математичний вісник. — 2015. — Т. 12, № 2. — С. 160-189. — Бібліогр.: 21 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722847890210816 |
|---|---|
| author | Ananieva, A.Yu. Budyika, V.S. |
| author_facet | Ananieva, A.Yu. Budyika, V.S. |
| citation_txt | To the spectral theory of the Bessel operator on finite interval and half-line / A.Yu. Ananieva, V.S. Budyika // Український математичний вісник. — 2015. — Т. 12, № 2. — С. 160-189. — Бібліогр.: 21 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | The minimal and maximal operators generated by the Bessel differential expression on the finite interval and a half-line are studied. All non-negative self-adjoint extensions of the minimal operator are described. Also we obtain a description of the domain of the Friedrichs extension of the minimal operator in the framework of extension theory of symmetric operators by applying the technique of boundary triplets and the corresponding Weyl functions, and by using the quadratic form method.
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| first_indexed | 2025-12-07T18:38:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-124494 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T18:38:18Z |
| publishDate | 2015 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Ananieva, A.Yu. Budyika, V.S. 2017-09-27T20:13:11Z 2017-09-27T20:13:11Z 2015 To the spectral theory of the Bessel operator on finite interval and half-line / A.Yu. Ananieva, V.S. Budyika // Український математичний вісник. — 2015. — Т. 12, № 2. — С. 160-189. — Бібліогр.: 21 назв. — англ. 1810-3200 2010 MSC. 34L10. https://nasplib.isofts.kiev.ua/handle/123456789/124494 The minimal and maximal operators generated by the Bessel differential expression on the finite interval and a half-line are studied. All non-negative self-adjoint extensions of the minimal operator are described. Also we obtain a description of the domain of the Friedrichs extension of the minimal operator in the framework of extension theory of symmetric operators by applying the technique of boundary triplets and the corresponding Weyl functions, and by using the quadratic form method. The authors express their gratitude to Prof. M. Malamud for posing the problem and permanent attention to the work. en Інститут прикладної математики і механіки НАН України Український математичний вісник To the spectral theory of the Bessel operator on finite interval and half-line Article published earlier |
| spellingShingle | To the spectral theory of the Bessel operator on finite interval and half-line Ananieva, A.Yu. Budyika, V.S. |
| title | To the spectral theory of the Bessel operator on finite interval and half-line |
| title_full | To the spectral theory of the Bessel operator on finite interval and half-line |
| title_fullStr | To the spectral theory of the Bessel operator on finite interval and half-line |
| title_full_unstemmed | To the spectral theory of the Bessel operator on finite interval and half-line |
| title_short | To the spectral theory of the Bessel operator on finite interval and half-line |
| title_sort | to the spectral theory of the bessel operator on finite interval and half-line |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/124494 |
| work_keys_str_mv | AT ananievaayu tothespectraltheoryofthebesseloperatoronfiniteintervalandhalfline AT budyikavs tothespectraltheoryofthebesseloperatoronfiniteintervalandhalfline |