The quasinormal frequencies of massive scalar fields on Kerr-AdS black holes
are identified with poles of a certain meromorphic family of operators, once
boundary conditions are specified at the conformal boundary. Consequently, the
quasinormal frequencies form a discrete subset of the complex plane and the
corresponding poles are of finite rank. This result holds for a broad class of
elliptic boundary conditions, with no restrictions on the rotation speed of the
black hole.Comment: 37 pages; minor changes. To appear in Ann. Inst. Fourie
