On the projective description of spaces of ultradifferentiable functions of Roumieu type
- Author
- Andreas Debrouwere (UGent) , Bojan Prangoski and Jasson Vindas Diaz (UGent)
- Organization
- Project
- Abstract
- We provide a projective description of the space E{M}(Ω) of ultradifferentiable functions of Roumieu type, where Ω is an arbitrary open set in Rd and M is a weight matrix satisfying the analogue of Komatsu’s condition (M.2)′. In particular, we obtain in a unified way projective descriptions of ultradifferentiable classes defined via a single weight sequence (Denjoy-Carleman approach) and via a weight function (Braun-Meise-Taylor approach) under considerably weaker assumptions than in earlier versions of these results.
- Keywords
- Ultradifferentiable classes of Roumieu type, Projective description, Functional analysis, Denjoy Carlemann classes
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-01GSACEX19G3QEWRGWMQM8KAA5
- MLA
- Debrouwere, Andreas, et al. “On the Projective Description of Spaces of Ultradifferentiable Functions of Roumieu Type.” Current Trends in Analysis, Its Applications and Computation : Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019, Birkhäuser, 2022, pp. 363–72, doi:10.1007/978-3-030-87502-2_37.
- APA
- Debrouwere, A., Prangoski, B., & Vindas Diaz, J. (2022). On the projective description of spaces of ultradifferentiable functions of Roumieu type. Current Trends in Analysis, Its Applications and Computation : Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019, 363–372. https://doi.org/10.1007/978-3-030-87502-2_37
- Chicago author-date
- Debrouwere, Andreas, Bojan Prangoski, and Jasson Vindas Diaz. 2022. “On the Projective Description of Spaces of Ultradifferentiable Functions of Roumieu Type.” In Current Trends in Analysis, Its Applications and Computation : Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019, 363–72. Cham, Switzerland: Birkhäuser. https://doi.org/10.1007/978-3-030-87502-2_37.
- Chicago author-date (all authors)
- Debrouwere, Andreas, Bojan Prangoski, and Jasson Vindas Diaz. 2022. “On the Projective Description of Spaces of Ultradifferentiable Functions of Roumieu Type.” In Current Trends in Analysis, Its Applications and Computation : Proceedings of the 12th ISAAC Congress, Aveiro, Portugal, 2019, 363–372. Cham, Switzerland: Birkhäuser. doi:10.1007/978-3-030-87502-2_37.
- Vancouver
- 1.Debrouwere A, Prangoski B, Vindas Diaz J. On the projective description of spaces of ultradifferentiable functions of Roumieu type. In: Current trends in analysis, its applications and computation : proceedings of the 12th ISAAC congress, Aveiro, Portugal, 2019. Cham, Switzerland: Birkhäuser; 2022. p. 363–72.
- IEEE
- [1]A. Debrouwere, B. Prangoski, and J. Vindas Diaz, “On the projective description of spaces of ultradifferentiable functions of Roumieu type,” in Current trends in analysis, its applications and computation : proceedings of the 12th ISAAC congress, Aveiro, Portugal, 2019, Aveiro, Portugal, 2022, pp. 363–372.
@inproceedings{01GSACEX19G3QEWRGWMQM8KAA5,
abstract = {{We provide a projective description of the space E{M}(Ω) of ultradifferentiable functions of Roumieu type, where Ω is an arbitrary open set in Rd and M is a weight matrix satisfying the analogue of Komatsu’s condition (M.2)′. In particular, we obtain in a unified way projective descriptions of ultradifferentiable classes defined via a single weight sequence (Denjoy-Carleman approach) and via a weight function (Braun-Meise-Taylor approach) under considerably weaker assumptions than in earlier versions of these results.}},
author = {{Debrouwere, Andreas and Prangoski, Bojan and Vindas Diaz, Jasson}},
booktitle = {{Current trends in analysis, its applications and computation : proceedings of the 12th ISAAC congress, Aveiro, Portugal, 2019}},
isbn = {{9783030875015}},
issn = {{2297-0215}},
keywords = {{Ultradifferentiable classes of Roumieu type,Projective description,Functional analysis,Denjoy Carlemann classes}},
language = {{eng}},
location = {{Aveiro, Portugal}},
pages = {{363--372}},
publisher = {{Birkhäuser}},
title = {{On the projective description of spaces of ultradifferentiable functions of Roumieu type}},
url = {{http://doi.org/10.1007/978-3-030-87502-2_37}},
year = {{2022}},
}
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