Fourier Transform--Exponential Function
The
Fourier Transform
of
is given by
(1)
Now let
so
, then
(2)
which, from the
Damped Exponential Cosine Integral
, gives
(3)
which is a
Lorentzian Function
.
See also
Damped Exponential Cosine Integral
,
Exponential Function
,
Lorentzian Function
© 1996-9
Eric W. Weisstein
1999-05-26