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Multivariate polynomial interpolation and sampling in Paley-Wiener spaces
Multivariate polynomial interpolation sampling Paley-Wiener spaces
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2010/12/3
In this paper, an equivalence between existence of particular exponential Riesz bases
for multivariate bandlimited functions and existence of certain polynomial interpolants for these bandlimited fun...
B-spline quasi-interpolant representations and sampling recovery of functions with mixed smoothness
Linear sampling algorithm Quasi-interpolant Quasi-interpolant representation
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2010/12/10
Let = {xj}n j =1 be a grid of n points in the d-cube Id := [0, 1]d, and = {'j}n j=1 a family of n functions on Id. We define the linear sampling algorithm Ln(, , ·) for an approximate recovery o...