简介:Inthispaper,asufficientandnecessaryconditionisobtainedtoensurethatthespectrumofaclassof2n-orderweighteddifferentialoperatorsisdiscrete.TheproofisbasedonthemethodofcertainweightedSobolevspacestobecompactlyembeddedinweightedL^2(R).
A CRITERION FOR DISCRETE SPECTRUM OF A CLASS OF DIFFERENTIAL OPERATORS