The band method and inverse problems for orthogonal matrix functions of Szegő-Kreǐn type (Q692584)
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scientific article; zbMATH DE number 6112937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The band method and inverse problems for orthogonal matrix functions of Szegő-Kreǐn type |
scientific article; zbMATH DE number 6112937 |
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The band method and inverse problems for orthogonal matrix functions of Szegő-Kreǐn type (English)
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6 December 2012
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To solve the inverse problems for some families of orthogonal functions (e.g., for Krein orthogonal entire matrix functions; see [Funct. Anal. Appl. 41, No. 2, 115--125 (2007); translation from Funkts. Anal. Prilozh. 41, No. 2, 44--57 (2007; Zbl 1255.47017)]), the authors use a band method approach. A non-stationary version of the Szegő-Krein theorem is also presented in this context.
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band method
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inverse problems
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orthogonal polynomial
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orthogonal entire function
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non-stationary orthogonal polynomial
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matrix polynomial equation
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entire matrix function equation
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Jordan chain
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root function
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Szegő-Krejn theorem
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0.89315003
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0.8864452
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0.88506794
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0.8817607
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0.88142055
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0.8805443
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