Question: 5. [M15] Prove that for any given polynomial kernel k(x z), there is no regularization operator L = P P such that Lk() =

5. [M15] Prove that for any given polynomial kernel k(x − z), there is no regularization operator L = PP such that Lk(α) = δ(α), that is, there is no associated Green function to k(x − z).

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