论文标题
繁殖内核希尔伯特空间的新特征以及公制几何应用的应用
New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry
论文作者
论文摘要
我们提供了与积极确定内核相关的繁殖内核希尔伯特空间的两个新的全球和算法结构。我们进一步使用双线性形式介绍了生理阳性确定的核设置，并提供了新的例子。我们的结果涵盖了可测量的阳性确定核的案例，我们将两种随机分析和度量几何形状的应用程序应用并提供了许多示例。
We give two new global and algorithmic constructions of the reproducing kernel Hilbert space associated to a positive definite kernel. We further present ageneral positive definite kernel setting using bilinear forms, and we provide new examples. Our results cover the case of measurable positive definite kernels, and we give applications to both stochastic analysisand metric geometry and provide a number of examples.
