Let G be a topological group. We investigate relations between two classes of “polynomial
like” continuous functions on G defined, respectively, by the conditions 1) Δ h n+ 1 f= 0 for …

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 …

In this paper we present several characterizations of ordinary polynomials as the solution
sets of certain functional equations related to the equation∑ i= 0 mfi (bi x+ ciy)=∑ i= 1 nai …

JM Almira, L. Székelyhidi MONTEL–TYPE THEOREMS FOR EXPONENTIAL POLYNOMIALS
Communicated by J. Wesołowski 1. Notation and Page 1 DEMONSTRATIO MATHEMATICA …

We study the functional equation ∑ _ i= 1^ mf_i (b_ix+ c_iy)= ∑ _ k= 1^ nu_k (y) v_k (x)∑ i=
1 mfi (bix+ ciy)=∑ k= 1 nuk (y) vk (x) with x, y ∈ R^ dx, y∈ R d and b_i, c_i ∈ GL (d, R) bi …

We study a functional equation first proposed by T. Popoviciu [15] in 1955. It was solved for
the easiest case by Ionescu [9] in 1956 and, for the general case, by Ghiorcoiasiu and …

arXiv:1605.00824v1 [math.CA] 3 May 2016 Page 1 arXiv:1605.00824v1 [math.CA] 3 May 2016
ON LOEWNER’S CHARACTERIZATION OF POLYNOMIALS JM ALMIRA Abstract. We give a …

We prove that, if f: R n→ R satisfies Fréchet's functional equation∆ m+ 1 hf (x)= 0 for all
x=(x1,···, xn), h=(h1,···, hn)∈ Rn, and f (x1,···, xn) is not an ordinary algebraic polynomial in …

Given $\{h_1,\cdots, h_ {t}\} $ a finite subset of $\mathbb {R}^ d $, we study the continuous
complex valued functions and the Schwartz complex valued distributions $ f $ defined on …

arXiv:1502.02962v1 [math.CA] 10 Feb 2015 Page 1 La Gaceta de la RSME, Vol. 00 (0000),
Núm. 0, Págs. 1–30 1 Los teoremas de Fréchet, Montel y Popoviciu y los grafos de los …