A New Characterization of the Domains of Integral Powers of the Self-Adjoint Friedrichs-Legendre Operator

Lance Littlejohn, Richard Wellman, Quinn Wicks

Let $A$ be the self-adjoint operator in $L^2(-1,1)$, generated by the second-order classical Legendre differential equation% \[ \ell\lbrack y](t)=-\left( (1-t^{2})y^{\prime}(t)\r…