Kardinale Splines, die Linearen Differenzengleichungen Genügen
In this paper complex contour integral representations (with non-compact paths) of cardinal exponential and logarithmic spline functions are established via the inverse bilateral Laplace transform and the inverse unilateral Mellin transform, respectively. An application of Cauchy’s residue theorem allows to determine the asymptotic behaviour of these splines as their degrees tend to infinity.
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- 7.Schempp, W.: Complex contour integral representation of cardinal spline functions. Contemporary Mathematics, Vol. 7. Providence, R.I.: Amer. Math. Soc. 1982Google Scholar