ABSTRACT
Now if (1 + i2pix)−1 , the function on the right-hand side of these equations, were absolutely integrable on the real line, then its integral inverse Fourier transform would be defined by the integral formula for F −1I , and the fundamental theorem on invertibility would assure us that
]∣∣∣ y
=
ei2pixy dx = e−y step(y) .
