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He described the chances of an effective continuation of the mission, one the most ambitious peacekeeping efforts by the United Nations, as only 50-500".
Finally, lithium is also an effective continuation treatment following ECT.
All these arguments relied on analytic Fredholm theory (2.17) and did not provide an effective continuation in the sense Sect.
The identification of effective continuation and maintenance strategies for elderly patients with psychotic depression is a critical issue that has not been fully explored.
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In addition to efficient continuation of traditional diagnostics, NGS proves very effective in providing diagnosis for previously unsolved rare cases and in supporting appropriate treatment.
We would call this an effective meromorphic continuation.
For more general hyperbolic ends see Guillarmou Mazzeo [119] where meromorphy of the resolvent was established using analytic Fredholm theory without providing an effective meromorphic continuation as defined above.
One weakness of the method lies in the fact that it provides effective meromorphic continuation only in strips, even though the resolvent is meromorphic in ( mathbb {C}).
2.6 we presented the method of complex scaling which provides an effective meromorphic continuation in the sense that resonances are identified with eigenvalues of non-self-adjoint Fredholm operators.
Throughout this section we assume that begin{aligned} P ( h ) text { given by } (3.20) text { has} {textit{ a compact hyperbolic trapped set }} K_E end{aligned} (3.50 in the sense of Definition 4 and that M is a manifold for which we have an effective meromorphic continuation of ( ( P ( h ) -z)^{-1} ) (see Sects. 2.6, 3.1).
Theorem 11 is the strongest gap result for hyperbolic trapped sets and it suggests that a resonance free strip of size h exists for all operators P(h) with such trapped sets: 10 Suppose that P(h) given by (3.20) has a compact hyperbolic trapped set ( K_E ) in the sense of Definition 4 (and M is a manifold for which we have an effective meromorphic continuation of ( (P ( h ) -z)^{-1} )).
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