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We study the resolvent of the massive Dirac operator in theSchwarzschild-Anti-de Sitter space-time. After separation of variables, we usestandard one dimensional techniques to obtain an explicit formula. We then makeuse of this formula to extend the resolvent meromorphically accross the realaxis.

Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-Anti-de Sitter spacetime