【正】 In this paper, a sufficient and necessary condition is obtained to ensure that the spectrum of a class of 2n-order weighted differential operators is discrete. The proof is based on the method of certain weighted Sobolev spaces to be compactly embedded in weighted L2(R).
In this paper, a sufficient and necessary condition is obtained to ensure that the spectrum of a class of 2n-order weighted differential operators is discrete. The proof is based on the method of certain weighted Sobolev spaces to be compactly embedded in weighted L2(R).