期刊
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
卷 52, 期 1, 页码 95-104出版社
CANADIAN MATHEMATICAL SOC
DOI: 10.4153/CMB-2009-012-3
关键词
Matrix valued orthogonal polynomials; unit circle; Schur complements; recurrence relations; kernel polynomials; Christoffel-Darboux
类别
In the work presented below the classical subject of orthogonal polynomials on the unit circle is discussed in the matrix setting. An explicit matrix representation of the matrix valued orthogonal polynomials in terms of the moments of the measure is presented. Classical recurrence relations are revisited using the matrix representation of the polynomials. The matrix expressions for the kernel polynomials and the Christoffel-Dirboux formulas are presented for the first time.
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