  Bell's theorem states that some quantum correlations can not be represented
by classical correlations of separated random variables. It has been
interpreted as incompatibility of the requirement of locality with quantum
mechanics. We point out that in fact the space part of the wave function was
neglected in the proof of Bell's theorem. However this space part is crucial
for considerations of property of locality of quantum system. Actually the
space part leads to an extra factor in quantum correlations and as a result the
ordinary proof of Bell's theorem fails in this case. We present a criterium of
locality in a realist theory of hidden variables. It is argued that predictions
of quantum mechanics for Gaussian wave functions can be consistent with Bell's
inequalities and hence Einstein's local realism is restored in this case.
