M. Laczkovich

activity

20182022

collaborators

8 papers

math.MG2022

Quadrilateral reptiles

Miklos Laczkovich

A polygon $P$ is called a reptile, if it can be decomposed into $k \geq 2$ nonoverlapping and congruent polygons similar to $P$ . We prove that if a cyclic quadrilateral is a reptile,…

math.AC2021

Translation invariant linear spaces of polynomials

Gergely Kiss, Miklós Laczkovich

A set of polynomials $M$ is called a {\it submodule} of $C [x_{1}, \dots, x_{n}]$ if $M$ is a translation invariant linear subspace of $C [x_{1}, \dots, x_{n}]$ . We pre…

math.CA2021

A superposition theorem of Kolmogorov type for bounded continuous functions

M. Laczkovich

Let $C (R^{n})$ denote the set of real valued continuous functions defined on $R^{n}$ . We prove that for every $n \geq 2$ there are positive numbers $λ_1 , \ldots , λ_…

math.GN2021

Separately polynomial functions

Gergely Kiss, Miklós Laczkovich

It is known that if $f : R^{2} \to R$ is a polynomial in each variable, then $f$ is a polynomial. We present generalizations of this fact, when ${\mathbb R}^2…

math.FA2020

Vector valued polynomials, exponential polynomials and vector valued harmonic analysis

Miklos Laczkovich

Let $G$ be a topological Abelian semigroup with unit, let $E$ be a Banach space, and let $C (G, E)$ denote the set of continuous functions $f : G \to E$ . A function $f \in C (G, E)$ …

math.MG2020

Irregular tilings of regular polygons with similar triangles

M. Laczkovich

We say that a triangle $T$ tiles a polygon $A$ , if $A$ can be dissected into finitely many nonoverlapping triangles similar to $T$ . We show that if $N > 42$ , then there are at most t…