(Fourier transform) We introduce the operations
(Fourier transform) and
(Inverse Fourier
transform):

Remark

There are several more forms of Fourier transform used in the literature. One
can do a change of variables
.
Then the Fourier transforms take the
form
We can also change conventions to impose
symmetry:
In these notes the term "Fourier transform" and notations
and
always refer to the definition (
Fourier
transform
).