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Suppose that (on) is an approximate identity on T and =1 fe L (T). (a) Prove that for every n EN (b) Prove that

Suppose that (on) is an approximate identity on T and =1 fe L (T). (a) Prove that for every n EN (b) Prove that || *f| ||f||. ||n* f- f 0 (c) If f. g L(T) have the same Fourier coefficients, prove that f = g. as n .

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