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One-dimensional Schrödinger operator on the half-line: The differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation |
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| Authors: | V S Buslaev V Yu Strazdin |
| Institution: | (1) St. Petersburg State University, Russia |
| Abstract: | It is shown that the eigenfunctions of the Schrödinger operator on the half-line satisfy an explicitly constructed differential equation with respect to the spectral parameter. Such an equation was earlier obtained for orthogonal polynomials. An analog of the Freud equation is found. |
| Keywords: | one-dimensional Schr?dinger equation Freud equation eigenfunctions of the Schr?dinger equation spectral function |
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