Geodesic
A semi-invariant integral with values in a group
Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 292-302 Cet article a éte moissonné depuis la source Math-Net.Ru

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An analog of the usual integral on a group is considered for the case when the domain of values is an Abelian topological group. Necessary and sufficient conditions are obtained for the existence of the integral on a compact group with values in a locally compact Abelian group. Bibliography: 4 titles. 
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B. M. Zinde. A semi-invariant integral with values in a group. Sbornik. Mathematics, Tome 21 (1973) no. 2, pp. 292-302. http://geodesic.mathdoc.fr/item/SM_1973_21_2_a7/

[1] V. Ya. Lin, “Poluinvariantnoe integrirovanie so znacheniyami v gruppe i nekotorye ego primeneniya”, Matem. sb., 82 (124) (1970), 233–259 | MR

[2] K. H. Hoffman, “Zerfällung topologischer Gruppen”, Math. Z., 84 (1964), 16–37 | DOI | MR

[3] E. R. van Kampen, “On almost periodic functions of constant absolute value”, J. London Math. Soc., XII:1 (1937), 3–6

[4] E. A. Gorin, “Funktsionalno-algebraicheskii variant teoremy Bora-van Kampena”, Matem. sb., 82 (124) (1970), 260–272 | MR | Zbl