JournalsprimsVol. 24 , No. 4DOI 10.2977/prims/1195174867

Symbol Theory of Microlocal Operators

  • Keisuke Uchikoshi

    National Defense Academy of Japan, Yokosuka, Kanagawa, Japan
Symbol Theory of Microlocal Operators cover

Abstract

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.