On the $L^{p}$-spaces of projective limits of probability measures
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911328367542272 |
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| author | Sampedro, Juan Carlos |
| author_facet | Sampedro, Juan Carlos |
| contents | The present article describes the precise structure of the $L^{p}$-spaces of projective limit measures by introducing a category theoretical perspective. This analysis is applied to measures on vector spaces and in particular to Gaussian measures on nuclear topological vector spaces. A simple application to constructive Quantum Field Theory (QFT) is given through the Osterwalder-Schrader axioms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_12178 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the $L^{p}$-spaces of projective limits of probability measures Sampedro, Juan Carlos Probability Functional Analysis 18A30, 60A10, 46E30, 46M10 The present article describes the precise structure of the $L^{p}$-spaces of projective limit measures by introducing a category theoretical perspective. This analysis is applied to measures on vector spaces and in particular to Gaussian measures on nuclear topological vector spaces. A simple application to constructive Quantum Field Theory (QFT) is given through the Osterwalder-Schrader axioms. |
| title | On the $L^{p}$-spaces of projective limits of probability measures |
| topic | Probability Functional Analysis 18A30, 60A10, 46E30, 46M10 |
| url | https://arxiv.org/abs/2307.12178 |