论文标题
无限二的随机变换和再现内核希尔伯特空间
Infinite-Dimensional Stochastic Transforms and Reproducing Kernel Hilbert space
论文作者
论文摘要
通过混凝土演示,我们在高斯田地的十字路口构建了两个无限二维变换,并繁殖了内核希尔伯特空间(RKHS),从而在高斯工艺的一般环境中导致了新的无限二维傅立叶变换。我们的结果旨在将现有工具从无限维度分析中统一。
By way of concrete presentations, we construct two infinite-dimensional transforms at the crossroads of Gaussian fields and reproducing kernel Hilbert spaces (RKHS), thus leading to a new infinite-dimensional Fourier transform in a general setting of Gaussian processes. Our results serve to unify existing tools from infinite-dimensional analysis.