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Kernel calculus and extension of contact transformations to D-modules

  • Andrea D’Agnolo
  • Pierre Schapira

Abstract

There is an important literature dealing with integral transformations. In our papers [6], [7] we proposed a general framework to the study of such transforms in the language of sheaves and D-modules. In particular, we showed that there are two natural adjunction formulas which split many difficulties into two totally different kind of problems: one of analytical nature, the calculation of the transform of a D-module, the other one topological, the calculation of the transform of a constructible sheaf. Similar adjunction formulas for temperate and formal cohomology are obtained by M. Kashiwara and P. S. in [15], and allow one to treat C -functions and distributions in this framework.

Keywords

Complex Manifold Natural Isomorphism Holomorphic Vector Bundle Dualizing Complex Contact Transformation 
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Copyright information

© Springer-Verlag Tokyo 1997

Authors and Affiliations

  • Andrea D’Agnolo
    • 1
  • Pierre Schapira
    • 1
  1. 1.Institut de Mathématiques; Analyse AlgébriqueUniversité Pierre et Marie CurieParis Cedex 05France

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