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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 315, Pages 102–120 (Mi znsl741)  
This article is cited in 2 scientific papers (total in 2 papers)

Estimates of parameters of conformal mappings related to a periodic Jacobi matrix

A. Kutsenkoab

a Saint-Petersburg State University
b Universität Potsdam Institut für Mathematik
Full-text PDF (246 kB) Citations (2)
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Abstract: We study the conformal mappings of the band without some vertical symmetric slits into the plane without horizontal slits (which lie on the real axis). Sharp two-sided estimates involving the lengths of slits and other parameters are obtained. In terms of the spectral theory of Jacobi matrices, we obtain sharp estimates involving isospectral parameters and the norm of potentials.
Received: 13.10.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 134, Issue 4, Pages 2295–2304
DOI: https://doi.org/10.1007/s10958-006-0105-y
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. Kutsenko, “Estimates of parameters of conformal mappings related to a periodic Jacobi matrix”, Investigations on linear operators and function theory. Part 32, Zap. Nauchn. Sem. POMI, 315, POMI, St. Petersburg, 2004, 102–120; J. Math. Sci. (N. Y.), 134:4 (2006), 2295–2304
Citation in format AMSBIB
\Bibitem{Kut04}
\by A.~Kutsenko
\paper Estimates of parameters of conformal mappings related to a~periodic Jacobi matrix
\inbook Investigations on linear operators and function theory. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 315
\pages 102--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2114018}
\zmath{https://zbmath.org/?q=an:1083.30007}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 134
\issue 4
\pages 2295--2304
\crossref{https://doi.org/10.1007/s10958-006-0105-y}
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    • 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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