Abstract
Given a (not necessarily regular) holonomic \(\fancyscript{D}\)-module \(\fancyscript{L}\) defined on the product of two complex manifolds, we prove that the correspondence associated with \(\fancyscript{L}\) 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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M. K. was partially supported by Grant-in-Aid for Scientific Research (B) 22340005, Japan Society for the Promotion of Science.
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Kashiwara, M., Schapira, P. Irregular holonomic kernels and Laplace transform. Sel. Math. New Ser. 22, 55–109 (2016). https://doi.org/10.1007/s00029-015-0185-y
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DOI: https://doi.org/10.1007/s00029-015-0185-y