Sobolev orthogonal polynomials on the conic surface

Lidia Fernandez, Teresa Perez, Miguel Pinar +1

Orthogonal polynomials with respect to the weight function $w_{{\hat{I}}^2,{\hat{I}}^3}(t)=t^2(1-t{)}^3$, ${\hat{I}}^3>-1$, on the conic surface $\{(x,t):\Vert x\Vert =t,x\in {\mathbb{R}}^d,t\le 1\}$ a…