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Optimal Flat Functions in Carleman–Roumieu Ultraholomorphic Classes in Sectors

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Bibliographic Details
Main Authors: Javier, Jiménez-Garrido, Ignacio, Miguel-Cantero, Javier, Sanz
Format: Book
Language:English
Published: Springer 2023
Subjects:
Dyn’kin
Carleman–Roumieu ultraholomorphic classes
Online Access:https://link.springer.com/article/10.1007/s00025-023-01859-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7661
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spelling 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 8.891145

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