Question: 4. (20 pts) Let V be a vector space over R with an inner product ( , ) : V X V - R. Let

4. (20 pts) Let V be a vector space over R with an inner product ( , ) : V X V - R. Let {ok : k E N} be an orthonormal system in V. For any f E V, the generalized Fourier series of f is [(f, OK) OK. k=1 Also let n Sn = >

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