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FourierTransform[(1/2)*(1+cos((pi*x)/a))*rect(x/(2*a)), x, \xi, FourierParameters->{0, -2*pi}]
FourierTransform[(1/2)*(1+cos((pi*x)/a))*rect(x/(2*a)), x, \xi, FourierParameters->{0, -2*pi}]
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