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.

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- Feb 7th 2008, 02:03 PMalexminfinding 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.