2. Let V R(0, 27]) be the space of Riemann integrable functions, with the usual inner product 27T -da f (x)9(x) 2T (f,g) If A C [0, 27T, recall XA(x) is the indicator function on A, that is, if x E A XA(x) if xA Then if f E V, the product fxA(x) is given by fxA() (x) if r E A; 10 if A (a) Let f(a) (b) Let A [0, 1], and define h(x) = f(x)XA(x). Give h explicitly give f h explicitly = x. Show that fE R(0, 27) by computing its norm piecewise function. Then as a piecewise function as a

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