Polyhyperbolic Cardinal Splines

2015/06/29 by Ledford, Jeff
#41A05 #41A15 #42B10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1506.08744

Abstract

In this note we discuss solutions of differential equation (D²-α²)^ku=0 on ℝ∖ℤ, which we call hyperbolic splines. We develop the fundamental function of interpolation and prove various properties related to these splines.

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