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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 318, Pages 298–307 (Mi znsl711)  
This article is cited in 25 scientific papers (total in 25 papers)

Absence of the singular continuous component in the spectrum of analytic direct integrals

N. Filonova, A. V. Sobolevb

a St. Petersburg State University, Faculty of Physics
b University of Sussex
Full-text PDF (180 kB) Citations (25)
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Abstract: We give a simple proof of the absence of the singular continuous component in the spectrum of self-adjoint operators representable as analytic direct integrals.
Received: 17.08.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 136, Issue 2, Pages 3826–3831
DOI: https://doi.org/10.1007/s10958-006-0203-x
Bibliographic databases:
UDC: 517
Language: English
Citation: N. Filonov, A. V. Sobolev, “Absence of the singular continuous component in the spectrum of analytic direct integrals”, Boundary-value problems of mathematical physics and related problems of function theory. Part 36, Zap. Nauchn. Sem. POMI, 318, POMI, St. Petersburg, 2004, 298–307; J. Math. Sci. (N. Y.), 136:2 (2006), 3826–3831
Citation in format AMSBIB
\Bibitem{FilSob04}
\by N.~Filonov, A.~V.~Sobolev
\paper Absence of the singular continuous component in the spectrum of analytic direct integrals
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~36
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 318
\pages 298--307
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl711}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120804}
\zmath{https://zbmath.org/?q=an:1084.47021}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 136
\issue 2
\pages 3826--3831
\crossref{https://doi.org/10.1007/s10958-006-0203-x}
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  • https://www.mathnet.ru/eng/znsl/v318/p298
    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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