Abstract
The asymptotic behavior for λ → ∞ of the Riesz means of the distribution function N(λ) of the eigenvalues of an elliptic differential operator is investigated. Under some restrictions (in particular for the Laplace operator), the second term of the asymptotics is obtained.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 163, pp. 143–145, 1987.
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Safarov, Y.G. Riesz means of the distribution function of the eigenvalues of an elliptic operator. J Math Sci 49, 1210–1212 (1990). https://doi.org/10.1007/BF02208718
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DOI: https://doi.org/10.1007/BF02208718