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Extension theorems
for the distribution solutions
to $\mathcal{D}$-modules with regular singularities

Authors: Hiroshi Koshimizu and Kiyoshi Takeuchi
Journal: Proc. Amer. Math. Soc. 128 (2000), 1685-1690
MSC (1991): Primary 32C38
Published electronically: October 27, 1999
MathSciNet review: 1695127
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Abstract: Some extension theorems for the distribution solutions to $\mathcal{D}$- modules will be given. We will use the notion of regular singularities introduced by Kashiwara-Oshima (1977).

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Additional Information

Hiroshi Koshimizu
Affiliation: Department of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku, 153, Japan

Kiyoshi Takeuchi
Affiliation: Department of Mathematics, Hiroshima University, 1-3-1, Kagamiyama, Higashi-hiroshima, Hiroshima, 739-8526, Japan

Keywords: Distribution, boundary value problem
Received by editor(s): July 10, 1998
Published electronically: October 27, 1999
Dedicated: Dedicated to the Memory of Our Friend, E. Andronikof
Communicated by: Lesley M. Sibner
Article copyright: © Copyright 2000 American Mathematical Society