Mollification formulas and implicit smoothing


This paper develops some mollification formulas involving convolutions between popular radial basis function (RBF) basic functions Φ, and suitable mollifiers. Polyharmonic splines, scaled Bessel kernels (Matern functions) and compactly supported basic functions are considered. A typical result is that in Rd the convolution of | • |β and (•2 + c2)−(β+2d)/2… (More)
DOI: 10.1007/s10444-005-7512-3

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