测度值函数空间上的拓扑与收敛
概率论
2026-01-13 v3
摘要
在这些笔记中，研究了取有限 Borel 测度集为值域的函数空间上的紧集上一致收敛。也描述了相关的极限定理，包括 Lévy 连续定理以及(经典与非交换)加性过程的函数极限定理。注：本手稿内容已并入另一手稿(arXiv:2412.18742)。
引用
@article{arxiv.2301.04361,
title = {Topology and convergence on the space of measure-valued functions},
author = {Takahiro Hasebe and Ikkei Hotta and Takuya Murayama},
journal= {arXiv preprint arXiv:2301.04361},
year = {2026}
}
备注
(v1) 20 pages. (v2) 11 pages. The title has been changed. (v3) 11 pages. As written in the abstract, the contents of this manuscript have been incorporated into another manuscript (arXiv:2412.18742)