  In 1930 Sergey L. Sobolev [7,8] has proposed a construction of the solution
of the Cauchy problem for the hyperbolic equation of the second order with
variable coefficients in 3-d. Although Sobolev did not construct the
fundamental solution, his construction was modified later by Romanov [4,5] to
obtain the fundamental solution. However, these works impose a restrictive
assumption of the regularity of geodesic lines in a large domain. In addition,
it is unclear how to realize those methods numerically. In this paper a simple
construction of a function, which is associated in a clear way with the
fundamental solution of the acoustic equation with the variable speed in 3-d,
is proposed. Conditions on geodesic lines are not imposed. An important feature
of this construction is that it lends itself to effective computations.
