Geodesic
On a condition of the absence of a singular continuous spectrum for the Friedrichs model
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 3-6 Cet article a éte moissonné depuis la source Math-Net.Ru

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An extension of the analytic dilation or the Mourre commutators methods is proposed. We consider two self-adjoints operators $H=H_0+V$ and $A$. Assuming some smouthness properties of $V$ and $[V, A]$ we prove the absence of singular continuous spectrum of $H$. No positivity of $[H_0, V]$ is required. 
@article{ZNSL_1983_127_a0,
     author = {A. F. Vakulenko},
     title = {On a~condition of the absence of a~singular continuous spectrum for the {Friedrichs} model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {3--6},
     year = {1983},
     volume = {127},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a0/}
}
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A. F. Vakulenko. On a condition of the absence of a singular continuous spectrum for the Friedrichs model. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 15, Tome 127 (1983), pp. 3-6. http://geodesic.mathdoc.fr/item/ZNSL_1983_127_a0/