书目名称 | Reproducing Kernel Spaces and Applications |
编辑 | Daniel Alpay |
视频video | |
概述 | Special selection of invited original papers collected from a leading expert in the field.Of importance for many fields inside and outside mathematics |
丛书名称 | Operator Theory: Advances and Applications |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2003 |
关键词 | Complex analysis; Functional analysis; Hilbert space; Operator theory; PDEs; partial differential equatio |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-0348-8077-0 |
isbn_softcover | 978-3-0348-9430-2 |
isbn_ebook | 978-3-0348-8077-0Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Springer Basel AG 2003 |