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Eigenfunctions. --- Fonctions propres --- Équations aux dérivées partielles. --- Problèmes aux limites --- Differential equations, Partial. --- Boundary value problems --- Operateurs lineaires hilbertiens --- Equations aux derivees partielles elliptiques --- Equations aux derivees partielles --- Problèmes mal posés --- Improperly posed problems --- Theorie spectrale --- Methodes hilbertiennes