Irregular holonomic kernels and Laplace transform

• Masaki Kashiwara ^[1] ; Pierre Schapira ^[2]
  1. [1] Kyoto University

     Kyoto University

     Kamigyō-ku, Japón

     
  2. [2] Pierre and Marie Curie University

     Pierre and Marie Curie University

     París, Francia

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 22, Nº. 1, 2016, págs. 55-109
• Idioma: inglés
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• Resumen

  • Given a (not necessarily regular) holonomic DD -module LL defined on the product of two complex manifolds, we prove that the correspondence associated with LL 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.