Abstract
Since (f(a)+/(a))/2 and (f(a)-f(a))/2i are, respectively, the real and imginary parts of f(a), then f(a) is a ring isomorphism of C1 onto S2n. Again the question is asked: if f is a scalar function for which the matrices f(u) and f(U) are defined, under what condition does q(f(u)) f(q(u))? This question is answered by the following theorem. Theorem. Let U = ?)(u). Let a1, ...,.ar be the distinct eigenvalues of
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