Orthogonality Measures for Orthogonal Matrix Polynomials with Periodic Coefficients of Recurrence Relations

摘要

Consider a positive definite matrix measure W of dimensions N × N (for any Borel set A is contained in R, W(A) is a positive semidefinite numerical matrix) having moments of any order i.e., the matrix integral ∫_R t~n dW(t) exists for any n ≥ 0.