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 [-1, 1] ? Rn, and (II) uniqueness of interpolation for polynomially bounded cardinal polysplines. AMS Mathematics Subject Classi.cation (2000): 41A82.
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Hermann Render (2006) studied this question.
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