VECTOR VALUED REPRODUCING KERNEL HILBERT SPACES AND UNIVERSALITY

被引：97

作者：

Carmeli, C. ^{[1
,2
]}

De Vito, E. ^{[2
,3
]}

Toigo, A. ^{[2
,4
]}

Umanita, V. ^{[4
,5
]}

机构：

[1] Univ Genoa, Dipartimento Fis, I-16126 Genoa, Italy

[2] Ist Nazl Fis Nucl, Sez Genova, I-16126 Genoa, Italy

[3] Dipartimento Sci Architettura, I-16123 Genoa, Italy

[4] Univ Genoa, Dipartimento Informat & Sci Informaz, I-16146 Genoa, Italy

[5] Politecn Milan, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy

来源：

ANALYSIS AND APPLICATIONS | 2010年 / 8卷 / 01期

关键词：

Vector valued reproducing kernel Hilbert spaces; universal approximation; operator valued feature maps;

D O I：

10.1142/S0219530510001503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of vector valued reproducing kernel Hilbert spaces. We focus on two aspects: vector valued feature maps and universal kernels. In particular, we characterize the structure of translation invariant kernels on abelian groups and we relate it to the universality problem.

引用

页码：19 / 61

页数：43

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