Fourier Transform--Inverse Function

The Fourier transform of the generalized function is given by

			(1)
			(2)
			(3)
			(4)

where denotes the Cauchy principal value. Equation (4) can also be written as the single equation

(5)

where is the Heaviside step function. The integrals follow from the identity

			(6)
			(7)
			(8)