Cardinal interpolation with periodic polysplines on strips (Q931065)

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scientific article; zbMATH DE number 5292373
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Cardinal interpolation with periodic polysplines on strips
scientific article; zbMATH DE number 5292373

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    Cardinal interpolation with periodic polysplines on strips (English)
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    24 June 2008
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    In a combination of the theory of \(L\)--splines and polyharmonic splines, existence and uniqueness of cardinal Lagrange functions is established. This is for spaces of so-called polysplines, a certain generalisation of splines in multiple dimensions on grids and special structures with parallel hyperplanes. Asymptotic decay estimates are given for these Lagrange functions, too.
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    cardinal lambda-splines
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    polyharmonic functions
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    multivariable interpolation
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