How to prove this

by zetafunction
Tags: prove
 P: 399 given a set of orthogonal polynomials with respect to a certain measure w(x) $$\int_{a}^{b}dx w(x) P_{n} (x)P_{m} (x) = \delta _{n,m}h_{n}$$ how can anybody prove that exists a certain M+M Hermitian matrix so $$P_{m} (x)= < Det(1-xM)>$$ here means average or expected value of 'x' if we knew the set of orthogonal polynomials $$P_{m} (x)$$ for every 'm' and the measure w(x) , could we get the expression for the matrix M ??