Tchebichef polynomials of the second kind and singular differential operators

Our purpose in this paper is to study the so called right- and left-definite problems for the Tchebichef differential equation using the classical approach given in the book ''Eigenfunction expansions associated with second-order differential equations-I'' by Titchmarsh. We link the Titchmarsh method with operator theoretic results in the Hilbert function spaces Lsub(w)2(-1,1) and Hsub(p,q)2(-1,1)