Abstract: | For the distribution functions of the positive and the negative eigenvalues of the operator in a domain with a smooth boundary, one obtains the asymptotic formula N±()=(32)–1 mes ·3+0(2). Under additional assumptions on the properties of the geodesic billiard in , one shows that N±()= (32)–1 mes ·3+0(2).Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 127, pp. 169–180, 1983. |