@article{oai:tsukuba.repo.nii.ac.jp:00016201,
author = {D'Agnolo, Andrea and Zampieri, Giuseppe},
issue = {1},
journal = {Tsukuba journal of mathematics},
month = {Jun},
note = {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]).},
pages = {175--184},
title = {Analysis of the action of a pseudodifferential operator over (C[Omega]|X)T*MX},
volume = {15},
year = {1991}
}