Construction of the solutions of microhyperbolic pseudodifferential equations (Q581782)

\textit{M. Kashiwara} and \textit{T. Kawai} [J. Math. Soc. Japan 27, 359-404 (1975; Zbl 0305.35066)] introduced the concept of microhyperbolicity and microfunction solutions of microhyperbolic pseudodifferential equations using a continuation theorem of holomorphic functions in complex domains. The aim of this paper is to construct directly an explicit solution of microhyperbolic pseudodifferential equations using a different method.