The asymptotical behaviour of embedded eigenvalues for perturbed periodic operators
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abstract
Let $H_0$ be a periodic operator on $R^+$(or periodic Jacobi operator on $N$). It is known that the absolutely continuous spectrum of $H_0$ is consisted of spectral bands $cup[alpha_l,\beta_l]$. Under the assumption that $limsup_{x o infty} x|V(x)|