Geodesic
Limit Investigation at Infinity of the Sobolev–Wiener Function Classes in Tube Domains
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 327-335 
S. V. Uspenskii; E. N. Vasil'eva. Limit Investigation at Infinity of the Sobolev–Wiener Function Classes in Tube Domains. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 327-335. http://geodesic.mathdoc.fr/item/TM_2001_232_a26/
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     title = {Limit {Investigation} at {Infinity} of the {Sobolev{\textendash}Wiener} {Function} {Classes} in {Tube} {Domains}},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In terms of the Sobolev–Wiener function spaces, the conditions are established under which the functions oscillate with respect to a chosen variable and stabilize to zero.

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