Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences
We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman?Roumieu ultraholomorphic classes defined by regular sequences in the sense of E. M. Dyn?kin. We extend previous results by J. Schmets and M. Valdivia, by V. Thilliez, and by the authors, and s...
| Autores: | ; ; |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/24522 |
| Acceso en línea: | http://hdl.handle.net/10902/24522 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Carleman ultraholomorphic classes Asymptotic expansions Borel–Ritt–Gevrey theorem Laplace transform Regular variation |
| _version_ | 1878736489464987648 |
|---|---|
| author | Jiménez Garrido, Jesús Javier|||0000-0003-3579-486X |
| author2 | Sanz Gil, Francisco Javier Schindl, G. |
| author2_role | author author |
| author_browse | Jiménez Garrido, Jesús Javier|||0000-0003-3579-486X Sanz Gil, Francisco Javier Schindl, G. |
| author_facet | Jiménez Garrido, Jesús Javier|||0000-0003-3579-486X Sanz Gil, Francisco Javier Schindl, G. |
| author_role | author |
| collection | UCrea Repositorio Abierto de la Universidad de Cantabria |
| description | We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman?Roumieu ultraholomorphic classes defined by regular sequences in the sense of E. M. Dyn?kin. We extend previous results by J. Schmets and M. Valdivia, by V. Thilliez, and by the authors, and show the prominent role played by an index, associated with the sequence, that was introduced by V. Thilliez. The techniques involve regular variation, integral transforms and characterization results of A. Debrouwere in a half-plane, stemming from his study of the surjectivity of the moment mapping in general Gelfand?Shilov spaces. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_8fe766062d3633e06fdf5e9637baa7b6 |
| institution | Universidad de Cantabria (UC) |
| instname_str | Universidad de Cantabria (UC) |
| language | eng |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:repositorio.unican.es:10902/24522 |
| publishDate | 2021 |
| publishDateSort | 2021 |
| publisher | Springer |
| publisherStr | Springer |
| reponame_str | UCrea Repositorio Abierto de la Universidad de Cantabria |
| spelling | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences Jiménez Garrido, Jesús Javier|||0000-0003-3579-486X Sanz Gil, Francisco Javier Schindl, G. Carleman ultraholomorphic classes Asymptotic expansions Borel–Ritt–Gevrey theorem Laplace transform Regular variation We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman?Roumieu ultraholomorphic classes defined by regular sequences in the sense of E. M. Dyn?kin. We extend previous results by J. Schmets and M. Valdivia, by V. Thilliez, and by the authors, and show the prominent role played by an index, associated with the sequence, that was introduced by V. Thilliez. The techniques involve regular variation, integral transforms and characterization results of A. Debrouwere in a half-plane, stemming from his study of the surjectivity of the moment mapping in general Gelfand?Shilov spaces. The first two authors are partially supported by the Spanish Ministry of Economy, Industry and Competitiveness under the project MTM2016-77642-C2-1-P, and by the Spanish Ministry of Science and Innovation under the project PID2019-105621GB-I00. The third author is supported by FWF-Projects P32905- N and P33417-N Springer http://hdl.handle.net/10902/24522 |
| spellingShingle | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences Jiménez Garrido, Jesús Javier|||0000-0003-3579-486X Carleman ultraholomorphic classes Asymptotic expansions Borel–Ritt–Gevrey theorem Laplace transform Regular variation |
| title | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences |
| title_full | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences |
| title_fullStr | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences |
| title_full_unstemmed | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences |
| title_short | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences |
| title_sort | Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences |
| topic | Carleman ultraholomorphic classes Asymptotic expansions Borel–Ritt–Gevrey theorem Laplace transform Regular variation |
| topic_facet | Carleman ultraholomorphic classes Asymptotic expansions Borel–Ritt–Gevrey theorem Laplace transform Regular variation |
| url | http://hdl.handle.net/10902/24522 |