Chapter 7.12, Problem 31P

Verify Parseval’s theorem (12.24) for the special cases in Problems 31 to 33.

$f(x)$ as in Figure 12.1. Hint: Integrate by parts and use (12.18) to evaluate ${\displaystyle {\int }_{-\infty }^{\infty }|}g(\alpha ){|}^{2}d\alpha$.