Reproducing Kernel Spaces and Applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2003
|
| Series: | Operator Theory: Advances and Applications
143 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien |
| Physical Description: | 1 Online-Ressource (XV, 344 p) |
| ISBN: | 9783034880770 9783034894302 |
| DOI: | 10.1007/978-3-0348-8077-0 |
Staff View
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| spelling | Alpay, Daniel Verfasser aut Reproducing Kernel Spaces and Applications edited by Daniel Alpay Basel Birkhäuser Basel 2003 1 Online-Ressource (XV, 344 p) txt rdacontent c rdamedia cr rdacarrier Operator Theory: Advances and Applications 143 20. Pattern recognition and statistical learning theory (the theory of support vector machines). See [40], [58]. In this last volume we refer in particular to the papers [63] and [64]. Since this topic is maybe less known to the operator theory community we mention that the support vector method is a general approach to function estimation problems. See [63, p. 26]. We note that the above list and the given references are by no way exhaustive. We refer to the first section of the paper of S. Saitoh in the present volume for another (and mainly different) list of topics where reproducing kernel spaces appear. Quite often a given question is best understood in a reproducing kernel Hilbert space (for instance when using Cauchy's formula in the Hardy space H ) 2 and one finds oneself as Mr Jourdain of Moliere' Bourgeois Gentilhomme speaking Prose without knowing it [48, p. 51]: Par ma foil il y a plus de quarante ans que je dis de la prose sans que l j'en susse rien Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion (DE-588)4163607-7 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Hilbert-Raum (DE-588)4159850-7 s Kernfunktion (DE-588)4163607-7 s 2\p DE-604 https://doi.org/10.1007/978-3-0348-8077-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Alpay, Daniel Reproducing Kernel Spaces and Applications Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion (DE-588)4163607-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| subject_GND | (DE-588)4163607-7 (DE-588)4159850-7 (DE-588)4143413-4 |
| title | Reproducing Kernel Spaces and Applications |
| title_auth | Reproducing Kernel Spaces and Applications |
| title_exact_search | Reproducing Kernel Spaces and Applications |
| title_full | Reproducing Kernel Spaces and Applications edited by Daniel Alpay |
| title_fullStr | Reproducing Kernel Spaces and Applications edited by Daniel Alpay |
| title_full_unstemmed | Reproducing Kernel Spaces and Applications edited by Daniel Alpay |
| title_short | Reproducing Kernel Spaces and Applications |
| title_sort | reproducing kernel spaces and applications |
| topic | Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion (DE-588)4163607-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd |
| topic_facet | Mathematics Functional analysis Functions of complex variables Integral Transforms Operator theory Differential equations, partial Operator Theory Functional Analysis Functions of a Complex Variable Integral Transforms, Operational Calculus Partial Differential Equations Mathematik Kernfunktion Hilbert-Raum Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-0348-8077-0 |
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