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422 22 Approximation Theorems and Convolutions Cc(X,C)=C(X,C) is dense in Lp(µ) for all p∈1,∞)Since, by the domi nated convergence theorem, uniform convergence implies Lp(µ) — convergence, it follows from the Weierstrass approximation theorem (see Theorem 4 and8 e * G J º ­ i k x × C ¾ ÿ A Ó × ò & e T ¹ µ & J j k X Y T ¹ µ ½ 8 è Ó * ª ò ¯ V * G J !G b _ Ê » ½ µ ¡ 2 c (­ Ø ¥ V _ ¥ E S N0£ V b1"8 v a ^ ? Ascii Code ƒƒKƒl ƒCƒ‰ƒXƒg ‚¨‚µ‚á‚ê