论文信息 - Hermitian Block Toeplitz Matrices, Orthogonal Polynomials, Reproducing Kernel Pontryagin Spaces, Interpolation and Extension

Hermitian Block Toeplitz Matrices, Orthogonal Polynomials, Reproducing Kernel Pontryagin Spaces, Interpolation and Extension

A largely expository account of the theory of matrix orthogonal polynomials associated with Hermitian block Toeplitz matrices, including assorted recursions, algorithms and zero properties is prepared, using structured reproducing kernel Pontryagin spaces as a key tool. A number of closely related problems of interpolation and extension are also studied.

Harry Dym | H. Dym

[1] Y. Kamp,et al. Orthogonal polynomial matrices on the unit circle , 1978 .

[2] Matrix-valued Toeplitz operators , 1967 .

[3] Thomas Kailath,et al. Covariance Characterization by Partial Autocorrelation Matrices , 1978 .

[4] I Gohberg. I. Schur methods inoperator theory and signal processing , 1986 .

[5] Thomas Kailath,et al. A view of three decades of linear filtering theory , 1974, IEEE Trans. Inf. Theory.

[6] G. Riblet. A coupling theorem for matched symmetrical two-branch four-port networks , 1978 .

[7] F. R. Gantmakher. The Theory of Matrices , 1984 .

[8] D. Alpay,et al. On Applications of Reproducing Kernel Spaces to the Schur Algorithm and Rational J Unitary Factorization , 1986 .

[9] Dante C. Youla,et al. Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle , 1978 .

[10] Some Hilbert spaces of analytic functions. I , 1963 .

[11] H. Dym. J Contractive Matrix Functions, Reproducing Kernel Hilbert Spaces and Interpolation , 1989 .

[12] M. Morf,et al. Inverses of Toeplitz operators, innovations, and orthogonal polynomials , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[13] I. Gohberg,et al. Factorization of Matrix Functions and Singular Integral Operators , 1980 .