Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type
We use a previously obtained topological characterization of Gelfand-Shilov spaces of Beurling type to characterize its dual using Riesz representation theorem. Using the characterization of the dual space equipped with the weak topology, we study the action of Ornstein-Uhlenbeck Semigroup on the...
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2020-10-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40348 |
| _version_ | 1797633535437176832 |
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| author | Hamed M. Obiedat Lloyd E. Moyo |
| author_facet | Hamed M. Obiedat Lloyd E. Moyo |
| author_sort | Hamed M. Obiedat |
| collection | DOAJ |
| description |
We use a previously obtained topological characterization of Gelfand-Shilov spaces of Beurling type to characterize its dual using Riesz representation theorem. Using the characterization of the dual space equipped with the weak topology, we study the action of Ornstein-Uhlenbeck Semigroup on the dual space.
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| first_indexed | 2024-03-11T11:55:20Z |
| format | Article |
| id | doaj.art-ea60ac76c3cd4591b66069157a17b3d4 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:55:20Z |
| publishDate | 2020-10-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-ea60ac76c3cd4591b66069157a17b3d42023-11-08T20:06:46ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882020-10-0139110.5269/bspm.40348Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling typeHamed M. Obiedat0Lloyd E. Moyo1The Hashemite UniversityHenderson State University We use a previously obtained topological characterization of Gelfand-Shilov spaces of Beurling type to characterize its dual using Riesz representation theorem. Using the characterization of the dual space equipped with the weak topology, we study the action of Ornstein-Uhlenbeck Semigroup on the dual space. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40348 |
| spellingShingle | Hamed M. Obiedat Lloyd E. Moyo Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type Boletim da Sociedade Paranaense de Matemática |
| title | Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type |
| title_full | Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type |
| title_fullStr | Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type |
| title_full_unstemmed | Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type |
| title_short | Ornstein-Uhlenbeck Semigroup on the dual space of Gelfand-Shilov Spaces of Beurling type |
| title_sort | ornstein uhlenbeck semigroup on the dual space of gelfand shilov spaces of beurling type |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/40348 |
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