Positive definiteness, reproducing kernel Hilbert spaces and beyond

Positive definiteness, reproducing kernel Hilbert spaces and beyond
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正定性,再现核希尔伯特空间及其他空间

DOI:
10.15352/afa/1399899838
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发表时间:
2013
影响因子:
1
通讯作者:
V. Menegatto
V. Menegatto
中科院分区:
数学4区
文献类型:
--
作者:
J. C. Ferreira;V. Menegatto

文献摘要

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正确定性、再现核希尔伯特空间、积分算子和各种形式的默瑟定理是许多数学分支中常见的主题。在本文中,我们回顾和更新了一些最近的结果,这些结果总是涉及其中至少两个,并指出了一些可以进行额外研究的方向。
Positive definiteness, reproducing kernel Hilbert spaces, integral operators and Mercer’s theorem in its various formats are common topics in many branches of mathematics. In this paper we review and upgrade upon some recent results that always involve at least two of them and indicate a few directions in which additional research could be carried out.