On the Carleman classes of vectors of a scalar type spectral operator
The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204311117 |
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| _version_ | 1832562585360138240 |
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| author | Marat V. Markin |
| author_facet | Marat V. Markin |
| author_sort | Marat V. Markin |
| collection | DOAJ |
| description | The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application. |
| format | Article |
| id | doaj-art-1fa79dcf71dc4fd9b696221ff9fad121 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1fa79dcf71dc4fd9b696221ff9fad1212025-02-03T01:22:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004603219323510.1155/S0161171204311117On the Carleman classes of vectors of a scalar type spectral operatorMarat V. Markin0Department of Partial Differential Equations, Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Street, Kiev 01601, UkraineThe Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.http://dx.doi.org/10.1155/S0161171204311117 |
| spellingShingle | Marat V. Markin On the Carleman classes of vectors of a scalar type spectral operator International Journal of Mathematics and Mathematical Sciences |
| title | On the Carleman classes of vectors of a scalar type spectral operator |
| title_full | On the Carleman classes of vectors of a scalar type spectral operator |
| title_fullStr | On the Carleman classes of vectors of a scalar type spectral operator |
| title_full_unstemmed | On the Carleman classes of vectors of a scalar type spectral operator |
| title_short | On the Carleman classes of vectors of a scalar type spectral operator |
| title_sort | on the carleman classes of vectors of a scalar type spectral operator |
| url | http://dx.doi.org/10.1155/S0161171204311117 |
| work_keys_str_mv | AT maratvmarkin onthecarlemanclassesofvectorsofascalartypespectraloperator |