A function f(α) is nonzero only in the region of width 2δ centered at α = 0.where C is a c...

A function f(α) is nonzero only in the region of width 2δ centered at α = 0.

where C is a constant.

(a). Find and plot versus β the Fourier transform A(β) of this function.

(b). The function f(α) might represent a pulse occupying either finite distance (α = position) or finite time (α = time). Comment on the wave number spectrum if a is position and on the frequency spectrum if a is time. Specifically address the dependence of the. width of the spectrum on δ.