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.
Dedicated to Professor Hikosaburo Komatsu
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© 1997 Springer-Verlag Tokyo
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D’Agnolo, A., Schapira, P. (1997). Kernel calculus and extension of contact transformations to D-modules. In: Bony, JM., Morimoto, M. (eds) New Trends in Microlocal Analysis. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68413-8_15
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DOI: https://doi.org/10.1007/978-4-431-68413-8_15
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