Abstract
The connection between the asymptotics of the spectral function and the formal shortwave expansion of the solution of the problem of the asymptotics of the Green function near a geodesically concave boundary of a two-dimensional surface is considered in the paper.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 78, pp. 3–19, 1978.
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Babich, V.M., Levitan, B.M. Problem of focusing and the asymptotics of the spectral function of the Laplace-Beltrami operator. I. J Math Sci 22, 995–1006 (1983). https://doi.org/10.1007/BF01305282
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DOI: https://doi.org/10.1007/BF01305282