Geodesic
Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 245-249 Cet article a éte moissonné depuis la source Math-Net.Ru

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The relationship between eigenfunctions of Fredholm type integral equation with rapidly oscillating kernel and dynamic mapping is analysed. The differential operators commuting with Fourier operator are constructed. These operators are closely connected with nontrivial solutions of unperturbed nonlinear functional equation related to the dynamic mapping. 
@article{ZNSL_2003_300_a24,
     author = {S. Yu. Slavyanov},
     title = {Integral equations of {Fredholm} type with rapidly varying kernels and their relationship to dynamic systems},
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     year = {2003},
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}
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S. Yu. Slavyanov. Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 245-249. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a24/

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