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We propose a definition of quasinormal frequencies (QNFs) as eigenvalues of the generator of time translations for a null foliation, acting on an appropriate (Gevrey based) Hilbert space. We show that this QNF spectrum is discrete in a subset of $\\mathbb{C}$ which includes the region $\\{$Re$(s) >-b$, $|$Im $(s)|> K\\}$ for any $b>0$ and some $K=K(b) \\gg 1$. 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