研究人员发表了一篇论文，探讨了高斯过程与 Reproducing Kernel Banach Spaces 中的高斯随机元素之间的关系。研究表明，弱二阶 Radon 概率测度的协方差算子由正定函数唯一确定。此外，该论文使用 $\gamma$-radonifying 算子表征了高斯背景下由协方差算子产生的正定函数，并将 Driscoll 定理推广到 Banach 空间设置。 AI
排序理由 该集群包含一篇详细介绍数学和统计学理论研究的学术论文。[lever_c_demoted from research: ic=2 ai=0.1]
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arXiv:2605.28106v1 Announce Type: cross Abstract: We investigate the connection between Gaussian processes and Gaussian random elements in reproducing kernel Banach spaces. We show that the covariance operator of a weak second-order Radon probability measure on such a space is un…
We investigate the connection between Gaussian processes and Gaussian random elements in reproducing kernel Banach spaces. We show that the covariance operator of a weak second-order Radon probability measure on such a space is uniquely determined by a positive definite function.…