Abstract
The asymptotic properties of the spectrum of a Laplace operator on a Riemannian manifold are studied. New asymptotic formulas are derived for spectrum series, which are associated with stable geodesics.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 15, No. 3, pp. 448–453, March, 1972.
The authors thank S. I. Al'ber for the statement of the problem and his interest in the work.
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Kogan, V.R., Krakhnov, A.V. The asymptotic behavior of the eigenvalues and eigenfunctions of the Laplace operator on a compact Riemannian manifold. Radiophys Quantum Electron 15, 336–340 (1972). https://doi.org/10.1007/BF02210674
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DOI: https://doi.org/10.1007/BF02210674