The symmetrical Carleman problem for the band with the parallel shift on the~real axis |
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| Author | |
| Abstract |
The Carleman problem (PC) for the symmetrical band with the parallel
shift on the real axis is considered. Due to received integral
representation of analytical function in the band the normal solvability,
the existence, the uniqueness and the construction of approximate
PC solution with a corresponding error estimation are studied. PC is also
studied in the space of distributions. In the particular case the PC
solution with application is received.
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| Keywords |
Carleman problem (PC), symmetrical band, parallel shift, real axis, integral representation, analytic function, normal solvability, existence and uniqueness, approximate solution, error estimation
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| DOI |
doi:10.30970/ms.10.1.33-40
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Reference |
1. О.А. Карелин, П.В. Керекеша. Доклады АН УССР, сер. А, 1975, № 12, с. 1070–1073.
2. Ф.Д. Гахов, Ю.И. Черский. Уравнение типа свертки. М., 1978. 3. Е. Титчмарш. Введение в теорию интегралов Фурье. М.-Л., 1948. 4. Дж. Гарнетт. Ограниченные аналитические функции. М., 1984. 5. А.Н. Колмогоров, С.В. Фомин. Элементы теории функций и функционального анализа. М., 1968. 6. Л.С. Раковщик. Успехи математических наук, 1963, т. 18, № 4, с. 171–177. 7. У. Рудин. Функциональный анализ. М.: Мир, 1975. 8. А.Ф. Дащенко, П.В. Керекеша, Г.Я. Попов. Прикладная механика, 1977, т. 13, № 6, с. 102–111. |
| Pages |
33-40
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| Volume |
10
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| Issue |
1
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| Year |
1998
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |