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math.FA2024
Solutions to the discrete Pompeiu problem and to the finite Steinhaus tiling problem
Gergely Kiss, Miklós Laczkovich
Let be a nonempty finite subset of the Euclidean space . We prove that if a function is such that the sum of o…
math.FA2020
Vector valued polynomials, exponential polynomials and vector valued harmonic analysis
Miklos Laczkovich
Let be a topological Abelian semigroup with unit, let be a Banach space, and let denote the set of continuous functions . A function …
math.FA2016
The discrete Pompeiu problem on the plane
Gergely Kiss, Miklós Laczkovich, Csaba Vincze
We say that a finite subset of the Euclidean plane has the discrete Pompeiu property with respect to isometries (similarities), if, whenever $f:\mathbb{R}^2\to \…