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Prove that sinc function is desired interpolator when given condition holds.

The process $X_t : t \in \mathbb{R} $ is bandlimited with $S_X(\omega) = 0$ for $|{\omega}| > \omega_c$. Show that if: $X_t = \sum_{n=-\infty}^{\infty} X_{nT}p(t-nT) $ $(m.s.)$ where ...