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On the orthogonal polynomials in several variables - MaRDI portal

On the orthogonal polynomials in several variables (Q1341174)

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scientific article; zbMATH DE number 706507
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English
On the orthogonal polynomials in several variables
scientific article; zbMATH DE number 706507

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    On the orthogonal polynomials in several variables (English)
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    23 January 1995
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    The authors show that systems of orthonormal polynomials in \(m\) variables can be completely described in terms of families of \(m\) commuting operators of special kind. A connection with the multidimensional moment problem is also outlined.
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    systems of orthonormal polynomials
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    families of \(m\) commuting operators of special kind
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    multidimensional moment problem
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