On the density of translation networks defined on the unit ball (Q6633210)

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scientific article; zbMATH DE number 7939115
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English
On the density of translation networks defined on the unit ball
scientific article; zbMATH DE number 7939115

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    On the density of translation networks defined on the unit ball (English)
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    5 November 2024
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    The paper presents a study on the density of a class of zonal translation networks defined on the unit ball. The authors provide a sufficient condition to ensure the zonal translation class is dense in \(L^p\) spaces defined on the unit ball. They construct a sequence of zonal translation networks using De La Vallée Poussin operators and demonstrate the approximation order.
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    convolutional structure on the unit ball
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    Jacobi orthogonal polynomials
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    zonal translations
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    Fourier-Laplace series
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    density
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