Geodesic
The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 13-21

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The numerical method of finding of meanings of eigenfunctions of discrete semibounded from below operator is developed. Estimates of residuals of sums of series of Reley–Schrodinger of the “weighed” corrections of the perturbation theory are gained. Approbation of the method on the example of Laplace operator with perturbed function of complex variable is produced.
Keywords: eigen values, eigen functions, “weighted”, corrections of perturbation theory, discrete operators. 
@article{VSGU_2012_6_a1,
     author = {S. I. Kadchenko and S. N. Kakushkin},
     title = {The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {13--21},
     publisher = {mathdoc},
     number = {6},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_6_a1/}
}
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S. I. Kadchenko; S. N. Kakushkin. The calculating of meanings of eigen functions of discrete semibounded from below operators via method of regularized traces. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 13-21. http://geodesic.mathdoc.fr/item/VSGU_2012_6_a1/