Sobolev orthogonal polynomials on the conic surface

Lidia Fernandez, Teresa Perez, Miguel Pinar +1

Orthogonal polynomials with respect to the weight function $w_{\beta ,\gamma }(t)=t^{\beta }(1-t{)}^{\gamma }$, $\gamma >-1$, on the conic surface $\{(x,t):\Vert x\Vert =t,x\in {\mathbb{R}}^d,t\le 1\}$ are st…