The Sobolev kernel \(\psi_{s}\in L^2(\mathcal{SO}(3))\) is a radial symmetric kernel function depending on a parameter \(s\) and the bandwidth \(N\). It is defined by its Chebyshev series
\[ \psi_s(t) = \sum\limits_{n=0}^{N} (2n+1)\, (n(n+1))^s \, \mathcal U_{2n}(t) \].
Syntax
psi = SO3SobolevKernel(1.1,'bandwidth',20)