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Extension theorems for the distribution solutions to -modules with regular singularities
Author(s):
Hiroshi
Koshimizu;
Kiyoshi
Takeuchi
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1685-1690.
MSC (1991):
Primary 32C38
Posted:
October 27, 1999
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Abstract:
Some extension theorems for the distribution solutions to - modules will be given. We will use the notion of regular singularities introduced by Kashiwara-Oshima (1977).
References:
- 1.
- E. Andronikof, Microlocalisation tempérée, Mém. Soc. Math. France, 57 (1994). MR 95e:58168
- 2.
- J.M. Bony, Propagation des singularités microlocale analytique des distributions, Astérisque, 34-35 (1976), 43-91. MR 58:23199
- 3.
- V. Colin, Thése at Paris VI, and a note to appear, (1997).
- 4.
- A. D'Agnolo and F. Tonin, Cauchy problem for hyperbolic
-modules with regular singularities, Pacific Journal of Mathematics, 184 (1998), 1-22. CMP 98:13 - 5.
- M. Kashiwara, Algebraic study of systems of linear differential equations (Master Thesis, Tokyo Univ., 1970), Mém. Soc. Math. France, 63 (1995). MR 97f:32012
- 6.
- M. Kashiwara, The Riemann-Hilbert problem for holonomic systems, Publ. Res. Inst. Math. Sci., 20 (1984), 319-365. MR 86j:58142
- 7.
- M. Kashiwara and T. Oshima, Systems of differential equations with regular singularities and their boundary value problems, Ann. Math., 106 (1977), 145-200. MR 58:2914
- 8.
- M. Kashiwara and P. Schapira, Micro-hyperbolic systems, Acta Math., 142 (1979), 1-55. MR 80b:58060
- 9.
- M. Kashiwara and P. Schapira, Sheaves on manifolds, Grundlehlen der Math. Wiss., 292, Springer-Verlag (1990). MR 92a:58132
- 10.
- T. Kawai, Extension of solutions of systems of linear differential equations, Publ. Res. Inst. Math. Sci., 12 (1976-77), 215-227. MR 54:3767
- 11.
- M. Sato, T. Kawai and M. Kashiwara, Hyperfunctions and pseudodifferential equations, L.N. in Math., Springer-Verlag, 287 (1973), 265-529.
- 12.
- K. Takeuchi, Edge-of-the-wedge type theorems for hyperfunction solutions, Duke Math. J., 89 (1997), 109-132. MR 98h:32015
- 13.
- K. Takeuchi, Microlocal inverse image and bimicrolocalization, Publ. Res. Inst. Math. Sci., 34 (1998), 135-153. MR 99f:32018
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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
Email:
takeuchi@top2.math.sci.hiroshima-u.ac.jp
DOI:
10.1090/S0002-9939-99-05494-5
PII:
S 0002-9939(99)05494-5
Keywords:
Distribution,
boundary value problem
Received by editor(s):
July 10, 1998
Posted:
October 27, 1999
Dedicated:
Dedicated to the Memory of Our Friend, E. Andronikof
Communicated by:
Lesley M. Sibner
Copyright of article:
Copyright
2000,
American Mathematical Society
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