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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 215, Pages 9–37 (Mi znsl5920)  
This article is cited in 10 scientific papers (total in 10 papers)

Operator integral in multidimensional spectral Inverse Problem

M. I. Belishev, A. P. Kachalov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (1002 kB) Citations (10)
Abstract: An approach to the Inverse Problems based upon the Boundary Control Theory (BC-method; M. Belishev, 1986) is developed. Working effectively in the Inverse Problems, M. Brodskii's operator integral is introduced. It has a dynamical nature connected with a propogation of discontinuities of the wave fields. Operator integral is applied to solve the problem of recovering of a potential in the Schrödinger operator on a Riemannian manifold via its spectral data. Bibliography: 27 titles.
Received: 14.03.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 85, Issue 1, Pages 1559–1577
DOI: https://doi.org/10.1007/BF02355317
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: M. I. Belishev, A. P. Kachalov, “Operator integral in multidimensional spectral Inverse Problem”, Differential geometry, Lie groups and mechanics. Part 14, Zap. Nauchn. Sem. POMI, 215, Nauka, St. Petersburg, 1994, 9–37; J. Math. Sci. (New York), 85:1 (1997), 1559–1577
Citation in format AMSBIB
\Bibitem{BelKac94}
\by M.~I.~Belishev, A.~P.~Kachalov
\paper Operator integral in multidimensional spectral Inverse Problem
\inbook Differential geometry, Lie groups and mechanics. Part~14
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 215
\pages 9--37
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5920}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1329972}
\zmath{https://zbmath.org/?q=an:0916.46033}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 85
\issue 1
\pages 1559--1577
\crossref{https://doi.org/10.1007/BF02355317}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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