2022-05-19T08:29:08Z
https://tsukuba.repo.nii.ac.jp/oai
oai:tsukuba.repo.nii.ac.jp:00016201
2022-04-27T08:41:00Z
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Analysis of the action of a pseudodifferential operator over (C[Omega]|X)T*MX
D'Agnolo, Andrea
Zampieri, Giuseppe
Let M be a real analytic manifold Ω⊂M an open set, X a complexification of M, P a pseudodifferential operator on X. Using the action of P over holomorphic functions on suitable domains of X, by [B.S], and the theory of representation of micro^-functions at the boundary (C01x)r*μx, by {S.Z], [Z], we show that P defines in a natural manner a sheaf morphism of (C01x)r*μx. Let us note that the hypotheses on ∂Ω are here weaker than in [K 2] where ∂Ω is supposed to be analytic. We also easily prove that P is an isomorphism of (C01x)r*μx out of T*MX∩char(P) (both by composition rule and by non-characteristic deformation). We shall apply the method of this paper in our forthcoming work on regularity at the boundary for solutions of P(cf.[D'A-Z]).
Institute of Mathematics, University of Tsukuba
1991-06
jpn
departmental bulletin paper
http://hdl.handle.net/2241/7196
https://tsukuba.repo.nii.ac.jp/records/16201
03874982
AA00874643
Tsukuba journal of mathematics
15
1
175
184
https://tsukuba.repo.nii.ac.jp/record/16201/files/17.pdf
application/pdf
540.7 kB
2013-12-19