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Orbits of the Weyl reflection groups attached to the simple Lie groups $A_2,C_2, G_2$ and Coxeter group $H_2$ are considered. For each of the groupsproducts of any two orbits are decomposed into the union of the orbits. Resultsare presented in a single formula for each of the groups. Orbits are consideredas functions of two variables and limits for such functions are mentioned.

Complete Decompositions of Coxeter groups orbit products of $A_2, C_2, G_2$ and $H_2$ and some limits for them