Unitary Correlations and the
نویسنده
چکیده
Let M be a unitary matrix with eigenvalues t j , and let f be a function on the unit circle. Deene X f (M) = P f(t j). We derive exact and asymptotic for-mulae for the covariance of X f and X g with respect to the measures j(M)j 2 dM where dM is Haar measure and an irreducible character. The asymptotic results include an analysis of the Fej er kernel which may be of independent interest.
منابع مشابه
Computing Wiener and hyper–Wiener indices of unitary Cayley graphs
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