On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy (Q916985)
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scientific article; zbMATH DE number 4155240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy |
scientific article; zbMATH DE number 4155240 |
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On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy (English)
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1989
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Using reproducing kernel space methods the author studies the truncated matrix Hamburger moment problem, an associated interpolation problem and the maximum entropy solutions (this latter is partially motivated by a question of H. Landau). Some formulas are presented for orthogonal matrix polynomials associated with a block Hankel matrix. An analogue of a recent formula of Alpay-Gohberg and Gohberg-Lerer for the number of roots of certain matrix polynomials is obtained. De Branges spaces (and de Branges paires) associated with a positive defined block Hankel matrix are investigated too.
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reproducing kernel space methods
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truncated matrix Hamburger moment problem
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interpolation problem
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maximum entropy solutions
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orthogonal matrix polynomials associated with a block Hankel matrix
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number of roots of certain matrix polynomials
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De Branges spaces
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de Branges paires
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positive defined block Hankel matrix
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