Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part IV, Tome 122 (1982), pp. 24-29
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P. G. Zograf. Puchsian groups and small eigenvalues of the Laplace operator. Zapiski Nauchnykh Seminarov POMI, Investigations in topology. Part IV, Tome 122 (1982), pp. 24-29. http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a3/
@article{ZNSL_1982_122_a3,
author = {P. G. Zograf},
title = {Puchsian groups and small eigenvalues of the {Laplace} operator},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {24--29},
year = {1982},
volume = {122},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a3/}
}
TY - JOUR
AU - P. G. Zograf
TI - Puchsian groups and small eigenvalues of the Laplace operator
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1982
SP - 24
EP - 29
VL - 122
UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a3/
LA - ru
ID - ZNSL_1982_122_a3
ER -
%0 Journal Article
%A P. G. Zograf
%T Puchsian groups and small eigenvalues of the Laplace operator
%J Zapiski Nauchnykh Seminarov POMI
%D 1982
%P 24-29
%V 122
%U http://geodesic.mathdoc.fr/item/ZNSL_1982_122_a3/
%G ru
%F ZNSL_1982_122_a3
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.
