Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00025-023-01859-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7661 |
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oai:localhost:PNK-76612023-04-06T09:55:30Z Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors Javier, Jiménez-Garrido Ignacio, Miguel-Cantero Javier, Sanz Dyn’kin Carleman–Roumieu ultraholomorphic classes CC BY We construct optimal flat functions in Carleman–Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitably restricted opening. A general procedure is presented in order to obtain linear continuous extension operators, right inverses of the Borel map, for the case of regular weight sequences in the sense of Dyn’kin. Finally, we discuss some examples (including the well-known q-Gevrey case) where such optimal flat functions can be obtained in a more explicit way. 2023-04-06T09:55:29Z 2023-04-06T09:55:29Z 2023 Book https://link.springer.com/article/10.1007/s00025-023-01859-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7661 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Dyn’kin Carleman–Roumieu ultraholomorphic classes |
| spellingShingle |
Dyn’kin Carleman–Roumieu ultraholomorphic classes Javier, Jiménez-Garrido Ignacio, Miguel-Cantero Javier, Sanz Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors |
| description |
CC BY |
| format |
Book |
| author |
Javier, Jiménez-Garrido Ignacio, Miguel-Cantero Javier, Sanz |
| author_facet |
Javier, Jiménez-Garrido Ignacio, Miguel-Cantero Javier, Sanz |
| author_sort |
Javier, Jiménez-Garrido |
| title |
Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors |
| title_short |
Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors |
| title_full |
Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors |
| title_fullStr |
Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors |
| title_full_unstemmed |
Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors |
| title_sort |
optimal flat functions in carleman–roumieu ultraholomorphic classes in sectors |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00025-023-01859-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7661 |
| _version_ |
1762456096151175168 |
| score |
8.8926115 |