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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 467, Pages 60–66 (Mi znsl6563)  

On the spectra of hyperbolic surfaces without thin handles

M. B. Dubashinskiy

Chebyshev Laboratory, St. Petersburg State University, St. Petersburg, Russia
References:
Abstract: We obtain a sharp lower estimate on eigenvalues of Laplace–Beltrami operator on a hyperbolic surface with injectivity radius bounded from the below.
Key words and phrases: hyperbolic surface, Laplace–Beltrami eigenvalues, Cheeger–Yau isoperimetric inequality.
Funding agency Grant number
Russian Science Foundation 14-21-00035
Received: 18.04.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 6, Pages 862–866
DOI: https://doi.org/10.1007/s10958-019-04585-3
Bibliographic databases:
Document Type: Article
UDC: 515.16+519.17
Language: Russian
Citation: M. B. Dubashinskiy, “On the spectra of hyperbolic surfaces without thin handles”, Investigations on linear operators and function theory. Part 46, Zap. Nauchn. Sem. POMI, 467, POMI, St. Petersburg, 2018, 60–66; J. Math. Sci. (N. Y.), 243:6 (2019), 862–866
Citation in format AMSBIB
\Bibitem{Dub18}
\by M.~B.~Dubashinskiy
\paper On the spectra of hyperbolic surfaces without thin handles
\inbook Investigations on linear operators and function theory. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 467
\pages 60--66
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6563}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 6
\pages 862--866
\crossref{https://doi.org/10.1007/s10958-019-04585-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075192910}
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