3 problems

Let $\Xi$ be a quasiuniform subset of $SO(3)$ with mesh ratio $\rho$. For the kernel $k_m$ on $SO(3)$ and its associated space $S(k_m,\Xi)$, let $\chi_{\xi}$ denote the Lagrange fu…

Let $\Xi$ be a quasiuniform center set with mesh ratio $\rho$, and let $\phi_{\beta}=G_{\beta}+G_{\beta}*\psi$ with $\beta>d$. Let $S(\phi_{\beta},\Xi)$ be the associated kernel sp…

Let $\Xi$ be a quasiuniform set of centers on the sphere, with mesh ratio $\rho$. For restricted surface splines $\varphi_m$ and the associated conditionally positive-definite kern…