Additivity coefficients for all classes in the algebra of Darboux-like maps on \(\mathbb{R}\) (Q2034849)

If \(\mathbb{D}\) denotes the class of the generalized functions on \(\mathbb{R}\) known as Darboux-like functions, then the algebra \(\mathcal{A}(\mathbb{D})\) generated by \(\mathbb{D}\) contains seventeen atoms. The additivity coefficients \(A(\mathcal{F})\) are calculated for all atoms \(\mathcal{F}\) in \(\mathcal{A}(\mathbb{D})\). Furthermore, the values \(A(\mathcal{F})\) for a lot of other families \(\mathcal{F} \in \mathcal{A}(\mathbb{D})\) are also determined.