# Math Help - finding eigenvalues & eigenvectors

1. ## finding eigenvalues & eigenvectors

Consider T is in Hom(R[x]<=2,R[x]<=2) defined by
(Tf)(x) = (integral from 1 to -1 of) ((x + y)^2)f(y + 2) dy − (2x^2)(f(2)).
Find all eigenvalues and eigenvectors for T.