On the periodized square of \(L^2\) cardinal splines. (English) Zbl 1262.41007

Summary: We establish properties of and propose a conjecture concerning \(\sum_m (S(x+m))^2\), where \(S\) is a piecewise polynomial cardinal spline in \(L^2(\mathbb R)\).


41A15 Spline approximation
62G07 Density estimation
Full Text: DOI Euclid


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