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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Видавець: | Інститут прикладної математики і механіки НАН України |
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Дата: | 2015 |
Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2015
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Назва видання: | Український математичний вісник |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/124494 |
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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. |
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irk-123456789-1244942017-09-28T03:02:52Z To the spectral theory of the Bessel operator on finite interval and half-line Ananieva, A.Yu. Budyika, V.S. 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. 2015 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/124494 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Ananieva, A.Yu. Budyika, V.S. |
spellingShingle |
Ananieva, A.Yu. Budyika, V.S. To the spectral theory of the Bessel operator on finite interval and half-line Український математичний вісник |
author_facet |
Ananieva, A.Yu. Budyika, V.S. |
author_sort |
Ananieva, A.Yu. |
title |
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_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_sort |
to the spectral theory of the bessel operator on finite interval and half-line |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2015 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/124494 |
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. |
series |
Український математичний вісник |
work_keys_str_mv |
AT ananievaayu tothespectraltheoryofthebesseloperatoronfiniteintervalandhalfline AT budyikavs tothespectraltheoryofthebesseloperatoronfiniteintervalandhalfline |
first_indexed |
2023-10-18T20:46:31Z |
last_indexed |
2023-10-18T20:46:31Z |
_version_ |
1796151076869636096 |