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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 217, Pages 144–171 (Mi znsl5966)  
This article is cited in 2 scientific papers (total in 2 papers)

Equipped absolutely continuous subspaces and stationary construction of the wave operators in the non-selfadjoint scattering theory

V. A. Ryzhov

St. Petersburg State Academy of Aerospace Equipment Construction
Full-text PDF (1287 kB) Citations (2)
Abstract: For a pair of non-selfadjoint operators with characteristic operator-functions having boundary values in the strong operator topology almost everywhere on the real axis, (local) wave operators are constructed. The investigation is based on the local stationary approach arising from the selfadjoint scattering theory and a certain interpretation of the absolutely continuous subspace as an equipped Hilbert space. Sufficient conditions for the existence of the wave operators are obtained and some of their properties are described. Bibliography: 28 titles.
Received: 12.01.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 2, Pages 1849–1866
DOI: https://doi.org/10.1007/BF02355295
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. A. Ryzhov, “Equipped absolutely continuous subspaces and stationary construction of the wave operators in the non-selfadjoint scattering theory”, Investigations on linear operators and function theory. Part 22, Zap. Nauchn. Sem. POMI, 217, POMI, St. Petersburg, 1994, 144–171; J. Math. Sci. (New York), 85:2 (1997), 1849–1866
Citation in format AMSBIB
\Bibitem{Ryz94}
\by V.~A.~Ryzhov
\paper Equipped absolutely continuous subspaces and stationary construction of the wave operators in the non-selfadjoint scattering theory
\inbook Investigations on linear operators and function theory. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 217
\pages 144--171
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5966}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1327521}
\zmath{https://zbmath.org/?q=an:0876.47011|0907.47004}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 2
\pages 1849--1866
\crossref{https://doi.org/10.1007/BF02355295}
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  • https://www.mathnet.ru/eng/znsl/v217/p144
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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