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math.AC2021
Translation invariant linear spaces of polynomials
Gergely Kiss, Miklós Laczkovich
A set of polynomials is called a {\it submodule} of if is a translation invariant linear subspace of . We pre…
math.CA2021
A superposition theorem of Kolmogorov type for bounded continuous functions
M. Laczkovich
Let denote the set of real valued continuous functions defined on . We prove that for every there are positive numbers $λ_1 , \ldots , λ_…
math.GN2021
Separately polynomial functions
Gergely Kiss, Miklós Laczkovich
It is known that if is a polynomial in each variable, then is a polynomial. We present generalizations of this fact, when ${\mathbb R}^2…