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Zapiski Nauchnykh Seminarov LOMI, 1982, Volume 122, Pages 24–29 (Mi znsl4062)  

Puchsian groups and small eigenvalues of the Laplace operator

P. G. Zograf
Abstract: Let $H$ be the Lobachevsky plane and $\Gamma$ be an arbitrary Puchsian group of the first kind. We give upper bounds for the total number and for the multiplicities of small eigenvalues (i. e. such in $[0,\frac14]$) of the Laplace operator on $H/\Gamma$ in which only topological invariants occur.
Bibliographic databases:
Document Type: Article
UDC: 515.178, 517, 547.58
Language: Russian
Citation: P. G. Zograf, “Puchsian groups and small eigenvalues of the Laplace operator”, Investigations in topology. Part IV, Zap. Nauchn. Sem. LOMI, 122, "Nauka", Leningrad. Otdel., Leningrad, 1982, 24–29
Citation in format AMSBIB
\Bibitem{Zog82}
\by P.~G.~Zograf
\paper Puchsian groups and small eigenvalues of the Laplace operator
\inbook Investigations in topology. Part~IV
\serial Zap. Nauchn. Sem. LOMI
\yr 1982
\vol 122
\pages 24--29
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4062}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=661463}
\zmath{https://zbmath.org/?q=an:0536.10017}
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  • https://www.mathnet.ru/eng/znsl/v122/p24
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