A commutation theorem on Mellin transform on sheaves and the functor of solutions

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dc.creatorFabbro, Herve
dc.date2007-02-08
dc.date.accessioned2026-07-07T07:45:37Z
dc.date.available2026-07-07T07:45:37Z
dc.descriptionWe describe the complex of solutions of the algebraic Mellin transform of a $\mathcal{D}$-module $\mathcal{M}$ in terms of the solutions of $\mathcal{M}$. In order to do that, we define a Mellin functor on sheaves. We show the Mellin transform of the complex of rapid decay solutions of a regular holonomic $\mathcal{D}$-module $\mathcal{M}$ is quasi-isomorphic to the complex of solutions of the algebraic Mellin transform of $\mathcal{M}$, the assumption of regularity not being necessary in the one variable case.
dc.description22 pages, LaTeX document
dc.identifierhttps://arxiv.org/abs/math/0702229
dc.identifierhttp://arxiv.org/abs/math/0702229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123587
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.titleA commutation theorem on Mellin transform on sheaves and the functor of solutions
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