Fig. 9

\(\Sigma \)-tensor scaling function of the second kind \(\tilde{\boldsymbol{\Phi }}_{\tau }^{5}\) on the unit sphere \(\Omega \) for different values of the scale parameter τ. The left figures show the Frobenius norms of the tensor scaling functions \(\tilde{\boldsymbol{\Phi }}_{\tau _{j}}^{5}(x,y)\) for a fixed value \(y \in \Omega \) and variable \(x \in \Omega \). The right figures show a sectional cut of the left one along the equator