Multidimensional vector-valued Laplace transform and applications
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918068896137216 |
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| author | Kostic, Marko |
| author_facet | Kostic, Marko |
| contents | In this paper, we introduce and analyze multidimensional vector-valued Laplace transform of functions with values in sequentially complete locally convex spaces. A great number of our results seem to be new even for the functions with values in Banach spaces. We provide several new applications of multidimensional vector-valued Laplace transform to the abstract Volterra integro-differential inclusions with multiple variables, as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_18909 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multidimensional vector-valued Laplace transform and applications Kostic, Marko Functional Analysis In this paper, we introduce and analyze multidimensional vector-valued Laplace transform of functions with values in sequentially complete locally convex spaces. A great number of our results seem to be new even for the functions with values in Banach spaces. We provide several new applications of multidimensional vector-valued Laplace transform to the abstract Volterra integro-differential inclusions with multiple variables, as well. |
| title | Multidimensional vector-valued Laplace transform and applications |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2506.18909 |