# (8) ONLY PLEASE! , the result of (7) is given
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In this problem set define the Fourier transform of a function f el(R) by f(x) = SR f(t)e-2rita dt
(8) Use the conclusion of (7) to show that A+B contains an interval.
Suppose A and B are measurable subsets of R with 0 < m(A) <
and 0 <m(B) < 0. m
14*1B is a continuous non-negative function
that is not identically equal to zero.
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