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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 422, Pages 5–17 (Mi znsl5760)  
This article is cited in 1 scientific paper (total in 1 paper)

Spectral estimation problem in infinite dimensional spaces

S. A. Avdonina, V. S. Mikhaylovb

a Department of Mathematics and Statistics University of Alaska Fairbanks, PO Box 756660 Fairbanks, AK 99775, USA
b St. Petersburg Department of the V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, 191023 Fontanka 27, St. Petersburg, Russia
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Abstract: We consider the generalized spectral estimation problem in infinite dimensional spaces. We solve this problem using the boundary control approach to inverse theory and provide an application to the initial boundary value problem for a hyperbolic system.
Key words and phrases: spectral estimation problem, boundary control method, identification problem.
Received: 30.11.2012
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 206, Issue 3, Pages 231–240
DOI: https://doi.org/10.1007/s10958-015-2307-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: S. A. Avdonin, V. S. Mikhaylov, “Spectral estimation problem in infinite dimensional spaces”, Mathematical problems in the theory of wave propagation. Part 43, Zap. Nauchn. Sem. POMI, 422, POMI, St. Petersburg, 2014, 5–17; J. Math. Sci. (N. Y.), 206:3 (2015), 231–240
Citation in format AMSBIB
\Bibitem{AvdMik14}
\by S.~A.~Avdonin, V.~S.~Mikhaylov
\paper Spectral estimation problem in infinite dimensional spaces
\inbook Mathematical problems in the theory of wave propagation. Part~43
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 422
\pages 5--17
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5760}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 206
\issue 3
\pages 231--240
\crossref{https://doi.org/10.1007/s10958-015-2307-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84953352895}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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