17 citations · 43 across the 38 of their papers we have counts for
38 papers
Characterization of polynomials by their invariance properties
J. M. Amira, Ya-Qing Hu
We prove that certain classical groups serve to characterize ordinary polynomials in real variables as elements of finite-dimensional subs…
Using the Baire Category Theorem to Explore Lions Problem for Quasi-Banach Spaces
A. G. Aksoy, J. M. Almira
Many results for Banach spaces also hold for quasi-Banach spaces. One important such example is results depending on the Baire Category Theorem (BCT). We use the BCT to explore Lio…
Using Aichinger's equation to characterize polynomial functions
J. M. Almira
Aichinger's equation is used to give simple proofs of several well-known characterizations of polynomial functions as solutions of certain functional equations. Concretely, we use…
Aichinger equation on commutative semigroups
J. M. Almira
We consider Aichinger's equation for functions defined on commutative semigroups which…
On Popoviciu-Ionescu functional equation in one and several variables
J. M. Almira
We study a functional equation first proposed by T. Popoviciu in 1955. In the one-dimensional case, it was solved for the easiest case by Ionescu in 1956 and, for the general case,…
A new proof of a classical result on the topology of orientable connected and compact surfaces by means of the Bochner technique
J. M. Almira, A. Romero
As an application of the Bochner formula, we prove that if a -dimensional Riemannian manifold admits a non-trivial smooth tangent vector field then its Gauss curvature is th…