Geodesic
About the inverse problem of the spectral analysis
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 7 (2011), pp. 91-99

Voir la notice de l'article provenant de la source Math-Net.Ru

We give the sufficient conditions imposed on a sequence of complex numbers for which there exists such perturbation operator, that its spectrum is equal to the given sequence. The algorithm of the approximate finding of the perturbation operator is given.
Keywords: a self-adjoint discrete operator, Hilbert space, Laplace operator, an operator of trace class, spectrum, trace, eigenvalues.
Mots-clés : perturbation 
@article{VYURU_2011_7_a12,
     author = {A. I. Sedov},
     title = {About the inverse problem of the spectral analysis},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {91--99},
     publisher = {mathdoc},
     number = {7},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2011_7_a12/}
}
TY  - JOUR
AU  - A. I. Sedov
TI  - About the inverse problem of the spectral analysis
JO  - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
PY  - 2011
SP  - 91
EP  - 99
IS  - 7
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VYURU_2011_7_a12/
LA  - ru
ID  - VYURU_2011_7_a12
ER  - 
%0 Journal Article
%A A. I. Sedov
%T About the inverse problem of the spectral analysis
%J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie
%D 2011
%P 91-99
%N 7
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VYURU_2011_7_a12/
%G ru
%F VYURU_2011_7_a12
A. I. Sedov. About the inverse problem of the spectral analysis. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 7 (2011), pp. 91-99. http://geodesic.mathdoc.fr/item/VYURU_2011_7_a12/