Geodesic
The discrete Wiener--Hopf equation with submultiplicative asymptotics of the solution
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1600-1611

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The discrete Wiener–Hopf equation is considered whose kernel is an arithmetic probability distribution with positive mean. The nonhomogeneous term behaves like a nondecreasing submultiplicative sequence. Asymptotic properties of the solution are established depending on the asymptotics of the submultiplicative sequence.
Keywords: discrete Wiener–Hopf equation, nonhomogeneous equation, arithmetic probability distribution, positive mean, submultiplicative sequence, regularly varying function, asymptotic behavior. 
@article{SEMR_2019_16_a142,
     author = {M. S. Sgibnev},
     title = {The discrete {Wiener--Hopf} equation with submultiplicative asymptotics of the solution},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1600--1611},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a142/}
}
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M. S. Sgibnev. The discrete Wiener--Hopf equation with submultiplicative asymptotics of the solution. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1600-1611. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a142/