  We consider those elements of the Schwartz algebra of entire functions which
are Fourier-Laplace transforms of invertible distributions with compact
supports on the real line. These functions are called invertible in the sense
of Ehrenpreis. The presented result concerns with the properties of zero
subsets of invertible in the sense of Ehrenpreis function f. Namely, we
establish some properties of the zero subset formed by zeros of f laying not
far from the real axis.
