ABSTRACT
The theory we have developed thus far for the Fourier transform (the “classical theory”) provides
a number of mathematical tools that could be useful in solving many problems of real interest
— provided those problems only involve classically transformable functions. Unfortunately, this is
often not the case. Even fairly simple real-world problems are likely to involve constant functions,
polynomials and exponential functions, none of which can be “Fourier transformed” using the clas-
sical theory. Since we want to deal with such functions, let us now turn our attention to finding a
more general way of defining the Fourier transform.
