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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 376, Pages 48–63 (Mi znsl3618)  
This article is cited in 7 scientific papers (total in 7 papers)

On wave operators on the singular spectrum

V. V. Kapustin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (605 kB) Citations (7)
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Abstract: 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.
Key words and phrases: wave operator, summation methods, singular spectral measure.
Received: 08.06.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 172, Issue 2, Pages 207–214
DOI: https://doi.org/10.1007/s10958-010-0193-6
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: V. V. Kapustin, “On wave operators on the singular spectrum”, Investigations on linear operators and function theory. Part 38, Zap. Nauchn. Sem. POMI, 376, POMI, St. Petersburg, 2010, 48–63; J. Math. Sci. (N. Y.), 172:2 (2011), 207–214
Citation in format AMSBIB
\Bibitem{Kap10}
\by V.~V.~Kapustin
\paper On wave operators on the singular spectrum
\inbook Investigations on linear operators and function theory. Part~38
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 376
\pages 48--63
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3618}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 172
\issue 2
\pages 207--214
\crossref{https://doi.org/10.1007/s10958-010-0193-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78651336265}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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