Topology and convergence on the space of measure-valued functions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911364311678976 |
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| author | Hasebe, Takahiro Hotta, Ikkei Murayama, Takuya |
| author_facet | Hasebe, Takahiro Hotta, Ikkei Murayama, Takuya |
| contents | In these notes, uniform convergence on compacta is studied on the space of functions taking values in the set of finite Borel measures. Related limit theorems, including Lévy's continuity theorem and functional limit theorems for (classical and non-commutative) additive processes, are also described. N.B.: the contents of this manuscript have been incorporated into another manuscript (arXiv:2412.18742). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_04361 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topology and convergence on the space of measure-valued functions Hasebe, Takahiro Hotta, Ikkei Murayama, Takuya Probability 28A33 (Primary) 60B10, 60E10, 60G51 (Secondary) In these notes, uniform convergence on compacta is studied on the space of functions taking values in the set of finite Borel measures. Related limit theorems, including Lévy's continuity theorem and functional limit theorems for (classical and non-commutative) additive processes, are also described. N.B.: the contents of this manuscript have been incorporated into another manuscript (arXiv:2412.18742). |
| title | Topology and convergence on the space of measure-valued functions |
| topic | Probability 28A33 (Primary) 60B10, 60E10, 60G51 (Secondary) |
| url | https://arxiv.org/abs/2301.04361 |