Spectral Analysis of Block Jacobi Matrices with Singular Entries
Three-diagonal block matrices (BM) are strictly connected with matrix-valued orthogonal polynomials (MOP).
Methods arising from the theory of those MOP gives answers to questions about spectrum of corresponding BM.
The case of singular coefficients in matrix-valued three-term recurrence formula such MOP satisfy will be treated.
The results will be applied to give another approach to the analysis of classic orthogonal polynomials satisfying three-term recurrence formula with periodic coefficients.
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