On the Lp-spaces of projective limits of probability measures
The present article describes the precise structure of the Lp-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...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/39244 |
| Acceso en línea: | https://hdl.handle.net/10902/39244 |
| Access Level: | acceso abierto |
| Palabra clave: | Projective limit measures Limit Colimit Measures on vector spaces Gaussian measures Lebesgue spaces Osterwalder–Schrader axiom |
| Sumario: | The present article describes the precise structure of the Lp-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. |
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