For a coherent E X -module M, Kashiwara and Schapira introduced the complex RHom EX (M, O X ) of holomorphic solutions to M. Very recently this complex was used by R. Ishimura (1998, J. Math. Pures Appl. 77, 647 654) to formulate and establish the Cauchy Kowalevski theorem for E-modules. In this paper, we will give a rigorous proof of some arguments of Ishimura.
Academic Press
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.