Orthogonal Matrix-valued Polynomials and Applications

This paper is a largely expository account of the theory of p x p matrix polyno­ mials associated with Hermitian block Toeplitz matrices and some related problems of interpolation and extension. , hn of p x p matrices with h-i = hj for j = 0, ... We let k = O, ... , hk and shall denote its 1 inverse H k by (k)] k [ r = .. k = O, ...