Moments of square-integrable functions (Q1102484)

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scientific article; zbMATH DE number 4050236
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Moments of square-integrable functions
scientific article; zbMATH DE number 4050236

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    Moments of square-integrable functions (English)
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    1987
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    Continuing his study on the orthogonality and recursion formulas for the polynomials in n-variables the author, in this paper, deals with the moment problem in the space \(L_ 2(d\phi)\) with a positive Borel measure on \({\mathbb{R}}^ n \)and finds out an algebraic condition for the corresponding coefficients. The matrix-vector notation is employed.
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    square-integrable functions
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    Hilbert space
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    recursion formulas
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    moment problem
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    Borel measure
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