On the asymptotic distribution of eigenvalues in an unbounded domain (Q1060394)

Let \(\Omega\) be a domain in \({\mathbb{R}}^ n\) satisfying \(meas (\Omega \cap \{x: | x| =r\})\leq C(1+n)^{-\tau}\) where \(0<\tau <1\). Let A be the positive operator, acting in \(L^ 2(\Omega)\), associated with a symmetric integro-differential sesquilinear form of order m with bounded coefficients, defined in \(\Omega\). The paper under review is devoted to the investigation of the asymptotic distribution of the eigenvalues of A under the assumption \(2m>n\).