Problems 1.1. Show that the system {exp ({n tix) ), (n = 0, $1, 1 2, .....) i b - a orthogonal in the Hermitian sense on the interval (a, b). - 27 - [Note: A set of functions {8 (x) ), 8,(x) = un(x) + j v (x), is said to be orthogonal in the Hermitian sense over the interval (a, b) if Sg (x) g (x) dx = 0 for (m / n) # 0 for (m = n), where g (x) is the complex conjugate of g (x). ]