We consider three popular classes of compactly supported radial basis functions. In the setting of estimating a periodic function in a white noise problem, we show that regularization with (periodized ...

SCOTT1 has derived a radial distribution function from a packing of about 1,000 spheres by measuring the Cartesian co-ordinates of each sphere and calculating the individual distribution functions ...

The series expansion of the prolate radial functions of the second kind, expressed in terms of the spherical Neumann functions, converges very slowly when the spheroid's surface coordinate ξ ...