On the coboundedness of functions on a torus
Matematičeskie zametki, Tome 55 (1994) no. 6, pp. 103-110.

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A. V. Rozhdestvenskii. On the coboundedness of functions on a torus. Matematičeskie zametki, Tome 55 (1994) no. 6, pp. 103-110. http://geodesic.mathdoc.fr/item/MZM_1994_55_6_a9/

[1] Ramsay F., “Nontransitive quasiorbits in Mackey's analysis of group extensions”, Acta Math., 137 (1976), 17–48 | DOI | MR | Zbl

[2] Helson H., “Analiticity on compact abelian groups”, Algebras in Analysis, Acad. Press, New York, 1975

[3] Anosov D. V., “Ob additivnom funktsionalnom gomologicheskom uravnenii, svyazannom s ergodicheskim povorotom okruzhnosti”, Izv. AN SSSR. Ser. matem., 37:6 (1973), 1259–1274 | MR | Zbl

[4] Baggett L., Merrill K., “On the cohomological equivalence of a class of functions under an irrational rotation of bounded type”, Proc. Amer. Soc., 111:3 (1991) | DOI | MR | Zbl

[5] Kornfeld I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980 | Zbl

[6] Parry W., “Cocycles and velocity changes”, J. London Math. Soc., 2:5 (1972), 511–516 | DOI | MR

[7] Edvards R., Ryady Fure v sovremennom izlozhenii, T. II, Mir, M., 1985

[8] Zigmund A., Trigonometricheskie ryady, T. II, Mir, M., 1965

[9] Khinchin A. Ya., Tsepnye drobi, Nauka, M., 1978

[10] Pichugov S. A., “Translation invariant operators in linear metric spaces”, Anal. Math., 18:3 (1992), 237–248 | DOI | MR | Zbl

[11] Pichugov S. A., “Otsenki norm operatorov, nepreryvnykh po mere”, Matem. zametki, 50:1 (1991), 146–148 | MR | Zbl

[12] Anzai H., “Ergodic skew product transformations on the torus”, Osaka Math. J., 3 (1951), 83–99 | MR | Zbl

[13] Yudin V. A., “Diofantovy priblizheniya v ekstremalnykh zadachakh $L_2$”, DAN SSSR, 251:1 (1980), 54–57 | MR | Zbl