Abstract
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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Literatur
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© 1983 Springer Basel AG
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Schempp, W. (1983). Kardinale Splines, die Linearen Differenzengleichungen Genügen. In: Collatz, L., Meinardus, G., Wetterling, W. (eds) Differential-Difference Equations/Differential-Differenzengleichungen. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 62. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6767-2_15
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DOI: https://doi.org/10.1007/978-3-0348-6767-2_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6769-6
Online ISBN: 978-3-0348-6767-2
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