The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
The author discusses the operator moment problem for a \((p + 2)\)-diagonal nonsymmetric matrix operator and derives an explicit form of Favard theorem for vector orthogonal polynomials. The main technique employed involves the use of the development of a system of resolvent functions of the operator in a vector continued fraction by a modified Jacobi-Perron algorithm.
scientific article; zbMATH DE number 903573