Fourier Transform Step Function Site

Fu(t)=πδ(ω)+1jωscript cap F the set u open paren t close paren end-set equals pi delta open paren omega close paren plus the fraction with numerator 1 and denominator j omega end-fraction 1. Define the Unit Step Function

[ u(t) = \frac12 + \frac12 \textsgn(t) ] fourier transform step function