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- W2316806696 abstract "A complete characterization is given of closed shift-invariant subspaces of L2(Rd) which provide a specified approximation order. When such a space is principal (i.e., generated by a single function), then this characterization is in terms of the Fourier transform of the generator. As a special case, we obtain the classical Strang-Fix conditions, but without requiring the generating function to decay at infinity. The approximation order of a general closed shift-invariant space is shown to be already realized by a specifiable principal subspace." @default.
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- W2316806696 title "Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )" @default.
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- W2316806696 doi "https://doi.org/10.2307/2154583" @default.
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