On wave operators on the singular spectrum

The problem of existence of a wave operator is considered in the general case where the spectral measures of the unitary operators are not assumed to be absolutely continuous. The case of commutators of rank at most two is studied in more detail. Bibliography: 6 titles.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2011-01, Vol.172 (2), p.207-214
1. Verfasser: Kapustin, V. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:The problem of existence of a wave operator is considered in the general case where the spectral measures of the unitary operators are not assumed to be absolutely continuous. The case of commutators of rank at most two is studied in more detail. Bibliography: 6 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-010-0193-6