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References
Aczél, J.,Lectures on functional equations and their applications. Academic Press, New York and London, 1966.
Aczél, J., Kalmár, L. andMikusińsky, J. G., Sur l'équation de translation. Studia Math.12 (1951), 112–116.
Alexandroff, P. andHopf, H.,Topologie I. Springer, Berlin, 1935.
Belousov, V. D.,Moufang's functional equation (Russian). Mat. Issled4 (1969), vyp 4 (14), 3–19.
Belousov, V. D.,Some remarks on the functional equation of generalized distributivity. Aequationes Math.1 (1968), 54–65.
Belousov, V. D. andHosszú, M.,Some reduction theorems on the functional equation of generalized distributivity. Publ. Mat. Debrecen12 (1965), 175–180.
Hosszú, M.,A generalization of the functional equation of distributivity. Acta Sci. Math. (Szeged)20 (1959), 67–80.
Kuratowski, K.,Topology, Volume I. Academic Press, London and New York, 1966.
Lundberg, A.,Cliff functions — a tool for treating sequences of composed functions. Aequationes Math.18 (1978), 35–53.
Lundberg, A.,On iterated functions with asymptotic conditions at a fixpoint. Ark. Mat.5 (1963), 193–206.
Lundberg, A.,On the functional equation f (λ (x)+g(y))=μ (x)+h (x+y). Aequationes Math.16 (1977), 21–30.
Lundberg, A. andNg, C. T.,Uniqueness theorems for the representation φ(f(x)g(y)+h(y)). Aequationes Math.13 (1975), 77–87.
Michel, H., Untersuchungen über stetige, monotone Iterationsgruppen reeller Funktionen ohne Differenzierbarkeitsvoraussetzungen. Publ. Math. Debrecen9 (1962), 13–46.
Michel, H., Über Monotonisierbarkeit von Iterationsgruppen reeller Funktionen. Publ. Math. Debrecen9 (1962), 298–306.
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Lundberg, A. Generalized distributivity for real, continuous functions. I: Structure theorems and surjective solutions. Aeq. Math. 24, 74–96 (1982). https://doi.org/10.1007/BF02193036
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DOI: https://doi.org/10.1007/BF02193036