Representing systems generated by reproducing kernels
In this paper, we study the representing and absolutely representing systems in the context of reproducing kernel Hilbert spaces. We prove in particular that, in many classical spaces including weighted Hardy and Dirichlet spaces and de Branges–Rovnyak spaces, there cannot exist absolutely represent...
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sg-ntu-dr.10356-1075952023-02-28T19:50:08Z Representing systems generated by reproducing kernels Fricain, Emmanuel Khoi, Le Hai Lefèvre, Pascal School of Physical and Mathematical Sciences Reproducing Kernels Representing Systems Science::Mathematics In this paper, we study the representing and absolutely representing systems in the context of reproducing kernel Hilbert spaces. We prove in particular that, in many classical spaces including weighted Hardy and Dirichlet spaces and de Branges–Rovnyak spaces, there cannot exist absolutely representing systems of reproducing kernels. MOE (Min. of Education, S’pore) Accepted version 2019-11-06T07:04:39Z 2019-12-06T22:35:16Z 2019-11-06T07:04:39Z 2019-12-06T22:35:16Z 2018 Journal Article Fricain, E., Khoi, L. H., & Lefèvre, P. (2018). Representing systems generated by reproducing kernels. Indagationes Mathematicae, 29(3), 860-872. doi:10.1016/j.indag.2018.01.004 0019-3577 https://hdl.handle.net/10356/107595 http://hdl.handle.net/10220/50347 10.1016/j.indag.2018.01.004 en Indagationes Mathematicae © 2018 Royal Dutch Mathematical Society (KWG). All rights reserved. This paper was published by Elsevier B.V. in Indagationes Mathematicae and is made available with permission of Royal Dutch Mathematical Society (KWG). 15 p. application/pdf |
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Reproducing Kernels Representing Systems Science::Mathematics |
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Reproducing Kernels Representing Systems Science::Mathematics Fricain, Emmanuel Khoi, Le Hai Lefèvre, Pascal Representing systems generated by reproducing kernels |
| description |
In this paper, we study the representing and absolutely representing systems in the context of reproducing kernel Hilbert spaces. We prove in particular that, in many classical spaces including weighted Hardy and Dirichlet spaces and de Branges–Rovnyak spaces, there cannot exist absolutely representing systems of reproducing kernels. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Fricain, Emmanuel Khoi, Le Hai Lefèvre, Pascal |
| format |
Article |
| author |
Fricain, Emmanuel Khoi, Le Hai Lefèvre, Pascal |
| author_sort |
Fricain, Emmanuel |
| title |
Representing systems generated by reproducing kernels |
| title_short |
Representing systems generated by reproducing kernels |
| title_full |
Representing systems generated by reproducing kernels |
| title_fullStr |
Representing systems generated by reproducing kernels |
| title_full_unstemmed |
Representing systems generated by reproducing kernels |
| title_sort |
representing systems generated by reproducing kernels |
| publishDate |
2019 |
| url |
https://hdl.handle.net/10356/107595 http://hdl.handle.net/10220/50347 |
| _version_ |
1759857836176703488 |