Question: If {(i} is a complete, orthonormal basis such that for all m and n (that is, the matrix representative of Ã is diagonal), prove that

If {(i} is a complete, orthonormal basis such that for all m and n (that is, the matrix representative of Ã‚ is diagonal), prove that the functions {(i} are eigenfunctions of Ã‚ and the (i's are the eigenvalues of Ã‚. Expand Ã‚(n in terms of the set {(i}.

(fml fa) = am8ma

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