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On Spectral Analysis of an Integral-Difference Operator |
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| Authors: | Melnikov Yu. |
| Affiliation: | (1) International Solvay Institutes for Physics and Chemistry, Campus Plaine, ULB CP 231, Bd. du Triomphe, Brussels, 1050, Belgium;(2) Laboratory of Complex Systems Theory, Institute for Physics, St. Petersburg State University, St. Petersburg, 198904, Russia |
| Abstract: | A complete spectral analysis of an integral-difference operator arising as a collision operator in some nonequilibrium statistical physics models is presented. Eigenfunctions of both discrete and continuous spectrum are constructed. |
| Keywords: | spectral analysis collision operator integral-difference operator. |
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