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arXiv · 1402.3642

Irregular holonomic kernels and Laplace transform

Masaki Kashiwara·Pierre Schapira
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Abstract

Given a (not necessarily regular) holonomic D-module defined on the product of two complex manifolds, we prove that the associated correspondence commutes (in some sense) with the De Rham functor. We apply this result to the study of the classical Laplace transform. The main tools used here are the theory of ind-sheaves and its enhanced version.

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Masaki Kashiwara, Pierre Schapira. 2014-02-15. Irregular holonomic kernels and Laplace transform. https://arxiv.org/abs/1402.3642

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