On a family of Levy processes without support in S'
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866915018431266816 |
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| author | Mendes, R. Vilela |
| author_facet | Mendes, R. Vilela |
| contents | The distributional support of the sample paths of Lévy processes is an important issue for the construction of sparse statistical models, theories of integration in infinite dimensions and the existence of generalized solutions of stochastic partial differential equations driven by Lévy white noise. Here one considers a family K_α(0<α<2) of Lévy processes which have no support in S'. For 1<α<2 they are supported in K', the space of distributions of exponential type and for 0<α=<1 on similar spaces of power exponential type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_03816 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On a family of Levy processes without support in S' Mendes, R. Vilela Probability Mathematical Physics The distributional support of the sample paths of Lévy processes is an important issue for the construction of sparse statistical models, theories of integration in infinite dimensions and the existence of generalized solutions of stochastic partial differential equations driven by Lévy white noise. Here one considers a family K_α(0<α<2) of Lévy processes which have no support in S'. For 1<α<2 they are supported in K', the space of distributions of exponential type and for 0<α=<1 on similar spaces of power exponential type. |
| title | On a family of Levy processes without support in S' |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2205.03816 |