References of "Laczkovich, Miklos"
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See detailThe discrete Pompeiu problem on the plane
Kiss, Gergely UL; Laczkovich, Miklós; Vincze, Csaba

in Monatshefte für Mathematik (2018)

We say that a finite subset $E$ of the Euclidean plane $\R^2$ has the discrete Pompeiu property with respect to isometries (similarities), if, whenever $f:\R^2\to \C$ is such that the sum of the values of ... [more ▼]

We say that a finite subset $E$ of the Euclidean plane $\R^2$ has the discrete Pompeiu property with respect to isometries (similarities), if, whenever $f:\R^2\to \C$ is such that the sum of the values of $f$ on any congruent (similar) copy of $E$ is zero, then $f$ is identically zero. We show that every parallelogram and every quadrangle with rational coordinates has the discrete Pompeiu property with respect to isometries. We also present a family of quadrangles depending on a continuous parameter having the same property. We investigate the weighted version of the discrete Pompeiu property as well, and show that every finite linear set with commensurable distances has the weighted discrete Pompeiu property with respect to isometries, and every finite set has the weighted discrete Pompeiu property with respect to similarities. [less ▲]

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See detailA characterisation of associative idempotent nondecreasing functions with neutral elements
Kiss, Gergely UL; Laczkovich, Miklós; Marichal, Jean-Luc UL et al

Scientific Conference (2016, June)

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See detailLinear functional equations, differential operators and spectral synthesis.
Kiss, Gergely UL; Laczkovich, Miklos

in Aequationes Mathematicae (2015), 89(2), 301328

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See detailDecomposition of balls into finitely many pieces
Kiss, Gergely UL; Laczkovich, Miklos

in Mathematika (2011), 57(1), 89-107

Detailed reference viewed: 55 (4 UL)