17 citations · 43 across the 38 of their papers we have counts for
4 papers · 2 filters
On polynomial functions on non-conmmutative groups
J. M. Almira, E. V. Shulman
Let be a topological group. We investigate relations between two classes of "polynomial like" continuous functions on defined, respectively, by the conditions (1) $Δ_h^{n+1…
A Montel-type theorem for mixed differences
J. M. Almira
We prove a generalization of classical Montel's theorem for the mixed differences case, for polynomials and exponential polynomial functions, in commutative setting.
On Popoviciu-Ionescu functional equation
J. M. Almira
We study a functional equation first proposed by T. Popoviciu in 1955. It was solved for the easiest case by Ionescu in 1956 and, for the general case, by Ghiorcoiasiu and Roscau,…
On Loewner's characterization of polynomials
J. M. Almira
We give a new demonstration of Loewner's characterization of polynomials, solving in the positive a conjecture proposed by Laird and McCann in 1984.