Example 12.6.  Show that  .  

Explore Solution 12.6.

Use the result of Example 12.5 and the symmetry property to find the Fourier transform.
Symmetry property.  If     then   .  

Aside. Let us use Mathematica  to find the FourierTransform .

Remark. Mathematica's  FourierTransform package does not use the same coefficient involving    as is commonly used in complex analysis.

(c) 2006 John H. Mathews, Russell W. Howell