Geyler V.A., Popov I.Yu., Popova S.L. Transmission coefficient for ballistic transport through quantum resonator (20K, LaTeX) ABSTRACT. A model for the description of ballistic transport in 1D-2D-1D system based on the theory of self-adjoint extensions of symmetric operators is suggested. Formula for transmission coefficient for the system, particurlarly, in the case of presense of a magnetic field, is obtained.