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math.AP2017★ 1 cited
Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-Anti-de Sitter spacetime
Guillaume Idelon-Riton
We study the resolvent of the massive Dirac operator in the Schwarzschild-Anti-de Sitter space-time. After separation of variables, we use standard one dimensional techniques to ob…
math.AP2014★ 4 cited
Scattering theory for the Dirac equation on the Schwarzschild-Anti-de Sitter spacetime
Guillaume Idelon-Riton
We show asymptotic completeness for linear massive Dirac fields on the Schwarzschild-Anti-de Sitter spacetime. The proof is based on a Mourre estimate. We also construct an asympto…