Mellin transforms of power-constructible functions
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929593959579648 |
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| author | Cluckers, Raf Comte, Georges Rolin, Jean-Philippe Servi, Tamara |
| author_facet | Cluckers, Raf Comte, Georges Rolin, Jean-Philippe Servi, Tamara |
| contents | We consider several systems of algebras of real- and complex-valued functions, which appear in o-minimal geometry and related geometrically tame contexts. For each such system, we prove its stability under parametric integration and we study the asymptotics of the functions as well as the nature of their parametric Mellin transforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_04538 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mellin transforms of power-constructible functions Cluckers, Raf Comte, Georges Rolin, Jean-Philippe Servi, Tamara Algebraic Geometry Classical Analysis and ODEs Logic 26B15, 14P15, 32B20, 42B20, 42A38 We consider several systems of algebras of real- and complex-valued functions, which appear in o-minimal geometry and related geometrically tame contexts. For each such system, we prove its stability under parametric integration and we study the asymptotics of the functions as well as the nature of their parametric Mellin transforms. |
| title | Mellin transforms of power-constructible functions |
| topic | Algebraic Geometry Classical Analysis and ODEs Logic 26B15, 14P15, 32B20, 42B20, 42A38 |
| url | https://arxiv.org/abs/2304.04538 |