  We construct and apply the classic balayage (sweeping out) of measures and
subharmonic functions on closed system of rays in the complex plane with vertex
at the origin, including measures and subharmonic functions and infinite order.
The need for such a procedure occurs in the study of the behavior of entire and
subharmonic functions on systems of rays. The results apply to the complete
regularity of the growth of subharmonic and entire functions on a system of
rays, the study of the distribution of zeros of entire functions of exponential
type of class A, touches upon the incompleteness of exponential systems. The
paper contains a survey character sections and new results.
