Kernel calculus and extension of contact transformations to D-modules

Andrea D’Agnolo and Pierre Schapira
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Andrea D’Agnolo: Université Pierre et Marie Curie, Institut de Mathématiques; Analyse Algébrique
Pierre Schapira: Université Pierre et Marie Curie, Institut de Mathématiques; Analyse Algébrique

A chapter in New Trends in Microlocal Analysis, 1997, pp 179-190 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-68413-8_15

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DOI: 10.1007/978-4-431-68413-8_15

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