Representations of \(J\)-central \(J\)-Potapov functions in both nondegenerate and degenerate cases (Q1030767)
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scientific article; zbMATH DE number 5574585
| Language | Label | Description | Also known as |
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| English | Representations of \(J\)-central \(J\)-Potapov functions in both nondegenerate and degenerate cases |
scientific article; zbMATH DE number 5574585 |
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Representations of \(J\)-central \(J\)-Potapov functions in both nondegenerate and degenerate cases (English)
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2 July 2009
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In a previous paper by the first three named authors (see the paper [Linear Algebra Appl. 430, No. 8--9, 2324--2361 (2009; Zbl 1197.47028)]) the inner structure of infinite \(J\)-Potapov sequences of complex \(m\times m\) matrices was investigated. In the present paper, the authors obtain left and right quotient representations of matrix polynomials for \(J\)-central \(J\)-Potapov functions in the open unit disk of the complex plane, including some recurrent formulas.
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\(J\)-Potapov functions
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\(J\)-Potapov sequences
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\(J\)-central \(J\)-Potapov functions
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\(J\)-central \(J\)-Potapov sequences
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