17 citations · 43 across the 38 of their papers we have counts for
5 papers · 1 filter
A dichotomy property for the graphs of monomials
J. M. Almira, Z. Boros
We prove that the graph of a discontinuous -monomial function is either connected or totally disconnected. Furthermore, the discontinuous monomial fu…
Montel-type theorems for exponential polynomials
J. M. Almira, L. Székelyhidi
In this paper we characterize local exponential monomials and polynomials on different types of Abelian groups and we prove Montel-type theorems for these function classes.
On Montel and Montel-Popoviciu theorems in several variables
A. G. Aksoy, J. M. Almira
We present an elementary proof of a general version of Montel's theorem in several variables which is based on the use of tensor product polynomial interpolation. We also prove a M…
Characterization of Classes of Polynomial Functions
J. M. Almira, L. Székelyhidi
In this paper some classes of local polynomial functions on abelian groups are characterized by the properties of their variety. For this characterization we introduce a numerical…
Local polynomials and the Montel Theorem
J. M. Almira, L. Székelyhidi
In this paper local polynomials on Abelian groups are characterized by a "local" Fréchet-type functional equation. We apply our result to generalize Montel's Theorem and to obtain…