On Hodge's Theory of Harmonic Integrals
Hermann Weyl · Annals of Mathematics · 1943
The attempt which WV. V. D. Hodge made in Chapter III of his beautiful book' to establish the existence of harmonic integrals with preassigned periods has not been entirely successful because the proof is partly based on a false statement (p. 136) concerning the behavior of the solution of a non-homogeneous integral equation when the spectrum parameter approaches an eigen value. In a Princeton seminar on the subject, H. F. Bohneriblust pointed out that counter examples are readily available even for linear equations with a finite number of unknowns. For instance the equation Xx + Ax = c with