On The Generalized Cauchy Equation
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1314-1318

Voir la notice de l'article provenant de la source Cambridge University Press

It is the purpose of this note to prove the following theorem: Let ƒ: G → R be a non-constant continuous function with G a locally compact connected topological group and with R the real numbers. Let C = ƒ(G) and suppose that F: C × C → C is a junction such that Then ƒ is monotone and open and F is continuous.
Monroe, Itrel. On The Generalized Cauchy Equation. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1314-1318. doi: 10.4153/CJM-1967-120-4
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