A convergence criterion for orthorecursive expansions in Euclidean spaces (Q351675)
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scientific article; zbMATH DE number 6185242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A convergence criterion for orthorecursive expansions in Euclidean spaces |
scientific article; zbMATH DE number 6185242 |
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A convergence criterion for orthorecursive expansions in Euclidean spaces (English)
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8 July 2013
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Orthorecursive expansion (ORE) is a generalization of the Fourier expansion in a Hilbert space. ORE was introduced by \textit{T. P. Lukashenko} [Mosc. Univ. Math. Bull. 56, No. 1, 5--9 (2001); translation from Vestn. Mosk. Univ., Ser. I 2001, No. 1, 6--10 (2001; Zbl 1023.42014)]. In the present paper, the author gives an interesting criterion for the convergence of an ORE in terms of the Gram matrix.
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orthorecursive expansion
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Gram matrix
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0.9248863
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0.8799647
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0.87908185
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0.8701029
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0.8692015
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0.8666674
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