Symbol Theory of Microlocal Operators

  • Keisuke Uchikoshi

    National Defense Academy of Japan, Yokosuka, Kanagawa, Japan


Let u(x, x')dx' be an arbitrary microlocal operator. We define the symbol function û(x, ξ of u(x, x')dx', and give a characterization of such symbol functions. Symbol formulae for adjoint operators and for composite operators are given.

Cite this article

Keisuke Uchikoshi, Symbol Theory of Microlocal Operators. Publ. Res. Inst. Math. Sci. 24 (1988), no. 4, pp. 547–584

DOI 10.2977/PRIMS/1195174867