Multi-dimensional Fourier Transform and separability

http://homepages.inf.ed.ac.uk/rbf/CVonline/LOCAL_COPIES/OWENS/LECT4/node2.html

Simple Separability Proof
http://www.google.com/url?sa=t&rct=j&q=&esrc=s&frm=1&source=web&cd=1&ved=0CC0QFjAA&url=http%3A%2F%2Fwww.cs.unm.edu%2F~williams%2Fcs530%2Fft2d.pdf&ei=zN2rUMjxAa3biwKzuIDgCQ&usg=AFQjCNE7HhwvVkAK8c9JyjpWT0x8EIlJsA

N dimensional Fourier Transfrom (Stanford SEE)
n-dimensional Fourier Transform