(a) In Example 5.62, the n = 4 discrete Fourier coefficients of the function f(x) = 2...

Question:

(a) In Example 5.62, the n = 4 discrete Fourier coefficients of the function f(x) = 2π c - x2 were found to be real. Is this true when n = 16? For general n?
(b) What property of a function f(x) will guarantee that its Fourier coefficients are real?