EXERCISE 4.1 [Fourier integral theorem]
1.
Using Fourier integral representation, show that
3.
Solve for f (x) from the integral equation
EXERCISE 4.2 [Fourier Transform]
I.
Find the Fourier transform of the function.
EXERCISE 4.3 [FCT and FST]
1.
Find the Fourier cosine transform of e-4x Deduce that