325 citations
- Universitat de BarcelonaES61 papers
- Instituto Argentino de RadioastronomíaAR44 papers
- Universidad Nacional de La PlataAR38 papers
- Instituto de Astrofísica de AndalucíaES37 papers
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- Consejo Nacional de Investigaciones Científicas y TécnicasAR34 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR32 papers
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8 papers · 1 filter
On certain generalizations of the Levi-Civita and Wilson functional equations
J. M. Almira, E. V. Shulman
We study the functional equation \[ \sum_{i=1}^mf_i(b_ix+c_iy)= \sum_{k=1}^nu_k(y)v_k(x) \] with and , both in the classical con…
On the closure of translation-dilation invariant linear spaces of polynomials
J. M. Almira, L. Székelyhidi
Assume that a linear space of real polynomials in variables is given which is translation and dilation invariant. We show that if a sequence in this space converges pointwise t…
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…
A p-adic Montel theorem and locally polynomial functions
J. M. Almira, Kh. F. Abu-Helaiel
We prove a version of both Jacobi's and Montel's Theorems for the case of continuous functions defined over the field of -adic numbers. In particular, we prove th…
A note on monomials
J. M. Almira, Kh. F. Abu-Helaiel
We study discontinuous solutions of the monomial equation . In particular, we characterize the closure of their graph, , and…