We study the completeness in
L
2
(
R
)
{L_2}(R)
of sequences of the form
{
f
(
c
n
−
t
)
}
\{ f({c_n} - t)\}
, where
{
c
n
}
\{ {c_n}\}
is a sequence of distinct real numbers. A Müntztype theorem is proved, valid for a large class of functions and, in particular, for
f
(
t
)
=
exp
(
−
t
2
)
f(t) = \exp ( - {t^2})
.