I am trying to calculate the Fourier transformation of the function
f(x)=exp(-x)*(the characteristic function running from 0 to 1, both included)
what I have got so far is this
|f_hat(gamma)|=|int_from -infinty to infinity (f(x)*exp(-2*pi*i*x*gamma)dx)|
= int_o to 1(exp(-x)*exp(-2*pi*i*x*gamma)dx)
and then what? Have I made a mistake somewhere along the way or is it simply a case of having got stuck?
thanks in advance