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Formal and Tempered Solutions of Regular $\cal D$-Modules

Published online by Cambridge University Press:  04 December 2007

Teresa Monteiro Fernandes
Teresa Monteiro Fernandes
Affiliation:
CMAF/UL and Dep. de Matemática da F.C.U.L. Complexo II, Av. Prof. Gama Pinto 2 1649-003 Lisboa, Portugal. E-mail: tmf@lmc.fc.ul.pt
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Abstract

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A new family of sheaves has been recently studied by M. Kashiwara and P. Schapira generalizing to constructible sheaves the notion of moderate and formal cohomology. We prove comparison theorems when we regard these sheaves as solutions of a $\cal D$-module. These results are natural generalizations of those of Y. Laurent and the author.

Keywords

constructible sheavesformal and moderate cohomologytempered distribution$\cal D$-Modules
Type
Research Article
Information
Compositio Mathematica , Volume 128 , Issue 3 , September 2001 , pp. 241 - 259
Copyright
© 2001 Kluwer Academic Publishers