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On wave operators on the singular spectrum

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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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References

  1. D. R. Yafaev, Mathematical Scattering Theory [in Russian], St. Petersburg (1994).

  2. V. V. Kapustin, PDMIP reprint 06/2010.

  3. G. Hardy, Divergent Series [Russian translation], Moscow (1951).

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    V. V. Kapustin

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  1. V. V. Kapustin
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Correspondence to V. V. Kapustin.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 376, 2008, pp. 48–63.

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Kapustin, V.V. On wave operators on the singular spectrum. J Math Sci 172, 207–214 (2011). https://doi.org/10.1007/s10958-010-0193-6

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  • DOI: https://doi.org/10.1007/s10958-010-0193-6

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