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The quasinormal modes (QNM's) of gravitational systems modeled by theKlein-Gordon equation with effective potentials are studied in analogy to theQNM's of optical cavities. Conditions are given for the QNM's to form acomplete set, i.e., for the Green's function to be expressible as a sum overQNM's, answering a conjecture by Price and Husain [Phys. Rev. Lett. {\bf 68},1973 (1992)]. In the cases where the QNM sum is divergent, procedures forregularization are given. The crucial condition for completeness is theexistence of spatial discontinuities in the system, e.g., the discontinuity atthe stellar surface in the model of Price and Husain.Comment: 12 pages, WUGRAV-94-

Quasinormal Mode Expansion for Linearized Waves in Gravitational Systems