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- W2071652904 abstract "A construction is given which allows the Hilbert space treatment of spline functions to be applied to the case of more than one variable, when the basic operator is a linear partial differential one. The particular case of the tensor product polynomial spline in two variables is then studied using a reproducing kernel, and its main properties, including the minimization ones, are deduced. A stable computational method is then given for this spline function, with certain point evaluation functionals. Finally, extensions are discussed, for more general linear functionals, for more general differential operators, and for more than two variables." @default.
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- W2071652904 date "1974-12-01" @default.
- W2071652904 modified "2023-09-26" @default.
- W2071652904 title "Multivariate spline functions. I. Construction, properties and computation" @default.
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- W2071652904 doi "https://doi.org/10.1016/0021-9045(74)90083-5" @default.
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