Geodesic
On wave operators on the singular spectrum
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 38, Tome 376 (2010), pp. 48-63

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The problem of the existence of a wave operator is considered in the general case where spectral measures of the unitary operators are not assumed to be absolutely continuous. The case of commutators of rank at most 2 is studied in more detail. Bibl. – 6 titles. 
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     author = {V. V. Kapustin},
     title = {On wave operators on the singular spectrum},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {48--63},
     publisher = {mathdoc},
     volume = {376},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_376_a2/}
}
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V. V. Kapustin. On wave operators on the singular spectrum. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 38, Tome 376 (2010), pp. 48-63. http://geodesic.mathdoc.fr/item/ZNSL_2010_376_a2/