Nonlocal Operational Calculi for Dunkl Operators
The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational calculus of Mikusinski type is developed. In the frames of this operationa...
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| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149174 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Nonlocal Operational Calculi for Dunkl Operators / I.H. Dimovski, V.Z. Hristov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1491742019-02-20T01:27:11Z Nonlocal Operational Calculi for Dunkl Operators Dimovski, I.H. Hristov, V.Z. The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational calculus of Mikusinski type is developed. In the frames of this operational calculi an extension of the Heaviside algorithm for solution of nonlocal Cauchy boundary value problems for Dunkl functional-differential equations P(Dk)u = f with a given polynomial P is proposed. The solution of these equations in mean-periodic functions reduces to such problems. Necessary and sufficient condition for existence of unique solution in mean-periodic functions is found. 2009 Article Nonlocal Operational Calculi for Dunkl Operators / I.H. Dimovski, V.Z. Hristov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 44A40; 44A35; 34K06 http://dspace.nbuv.gov.ua/handle/123456789/149174 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 |
The one-dimensional Dunkl operator Dk with a non-negative parameter k, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of Dk, satisfying this condition is studied. An operational calculus of Mikusinski type is developed. In the frames of this operational calculi an extension of the Heaviside algorithm for solution of nonlocal Cauchy boundary value problems for Dunkl functional-differential equations P(Dk)u = f with a given polynomial P is proposed. The solution of these equations in mean-periodic functions reduces to such problems. Necessary and sufficient condition for existence of unique solution in mean-periodic functions is found. |
| format |
Article |
| author |
Dimovski, I.H. Hristov, V.Z. |
| spellingShingle |
Dimovski, I.H. Hristov, V.Z. Nonlocal Operational Calculi for Dunkl Operators Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Dimovski, I.H. Hristov, V.Z. |
| author_sort |
Dimovski, I.H. |
| title |
Nonlocal Operational Calculi for Dunkl Operators |
| title_short |
Nonlocal Operational Calculi for Dunkl Operators |
| title_full |
Nonlocal Operational Calculi for Dunkl Operators |
| title_fullStr |
Nonlocal Operational Calculi for Dunkl Operators |
| title_full_unstemmed |
Nonlocal Operational Calculi for Dunkl Operators |
| title_sort |
nonlocal operational calculi for dunkl operators |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149174 |
| citation_txt |
Nonlocal Operational Calculi for Dunkl Operators / I.H. Dimovski, V.Z. Hristov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT dimovskiih nonlocaloperationalcalculifordunkloperators AT hristovvz nonlocaloperationalcalculifordunkloperators |
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2023-05-20T17:32:30Z |
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2023-05-20T17:32:30Z |
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1796153527928619008 |