Similarity of Some Singular Operators to Self-Adjoint Ones |
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Authors: | M. M. Faddeev R. G. Shterenberg |
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Affiliation: | (1) St.Petersburg State University, Russia |
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Abstract: | The singular differential operator is studied. It is proved that if the second moment of p is finite and L has no nonreal eigenvalues, then L is similar to a self-adjoint operator. The proof is based on an integral resolvent criterion of similarity applied to a wide class of functions p(x). Bibliography: 20 titles. |
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