e start our consideration from the
Fourier
transform. | | (Direct Fourier transform) |
 | | (Inverse Fourier transform) |
We aim to expand these relationsips to a
transformation
where the
is a complex number
 ,
 ,
for some
 .
The idea is to
split
and apply ( Direct Fourier
transform),( Inverse Fourier
transform) to
 .
Suppose the integral
converges absolutely for the given interval of values
 .
We proceed according to the stated above idea:
 
We would like to recover the
from
 .
We use ( Inverse Fourier transform)
with the substitution
 ,
 ,
 :
We transform the last
relationship:
Hence, we
invert
with
|
