2 papers
math.FA2026
A New Characterization of the Domains of Integral Powers of the Self-Adjoint Friedrichs-Legendre Operator
Lance Littlejohn, Richard Wellman, Quinn Wicks
Let be the self-adjoint operator in , generated by the second-order classical Legendre differential equation% \[ \ell\lbrack y](t)=-\left( (1-t^{2})y^{\prime}(t)\r…
math.SP2015
Glazman-Krein-Naimark Theory, Left-Definite Theory and the Square of the Legendre Polynomials Differential Operator
Lance L. Littlejohn, Quinn Wicks
As an application of a general left-definite spectral theory, Everitt, Littlejohn and Wellman, in 2002, developed the left-definite theory associated with the classical Legendre se…