Geodesic
On positivity properties of fundamental cardinal polysplines
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006) no. 1

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Polysplines on strips of order $p$ are natural generalizations of univariate splines. In [3] and [4] interpolation results for cardinal polysplines on strips have been proven. In this paper the following problems will be addressed: (i) positivity of the fundamental polyspline on the strip $\left[ -1,1\right] \times {\Bbb R}^{n}$, and (ii) uniqueness of interpolation for polynomially bounded cardinal polysplines.
Keywords: Cardinal splines, L-splines, fundamental spline, polyharmonic functions, polysplines 
H. Render. On positivity properties of fundamental cardinal polysplines. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 31 (2006) no. 1. http://geodesic.mathdoc.fr/item/BASS_2006_31_1_a8/
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     author = {H. Render},
     title = {On positivity properties of fundamental cardinal polysplines},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {101 - 114},
     year = {2006},
     volume = {31},
     number = {1},
     zbl = {1119.41008},
     url = {http://geodesic.mathdoc.fr/item/BASS_2006_31_1_a8/}
}
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