The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials (Q1917940)
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scientific article; zbMATH DE number 903573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials |
scientific article; zbMATH DE number 903573 |
Statements
The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials (English)
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15 July 1996
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The author discusses the operator moment problem for a \((p + 2)\)-diagonal nonsymmetric matrix operator and derives an explicit form of Favard theorem for vector orthogonal polynomials. The main technique employed involves the use of the development of a system of resolvent functions of the operator in a vector continued fraction by a modified Jacobi-Perron algorithm.
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Hermite-Padé approximants
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operator moment problem
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nonsymmetric matrix operator
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Favard theorem
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vector orthogonal polynomials
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resolvent functions
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vector continued fraction
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Jacobi-Perron algorithm
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