Suppose the transform was f(s)=1/s where s is a complex variable s=x+iy. Then to draw the absolute value of f(s) in Mathematica you can use either Plot3D or ParametricPlot3D. I'll use Plot3D:

Plot3D[Abs[f[x+iy]],{x,-3,3},{y,-3,3}]

Remember imaginary i in Mathematica is either a double-strike i (esc i i esc) or capital I.