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The negative discrete spectrum of the operator (-τ)l -αV in L2(Rd) for d even and 2l≥dinL2(Rd) for d even and 2l≥d

The negative discrete spectrum of the operator (-τ)l -αV in L2(Rd) for d even and 2l≥dinL2(Rd) for d even and 2l≥d

We study the asymptotic behaviour of N(α)—the number of negative eigenvalues of the operator (-τ)l -αV in L2(Rd) for an even d and 2l≥d. This is the only case where the previously known results were far from being complete. In order to describe our results we introduce an auxiliary ordinary …