References of "Monatshefte für Mathematik"
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See detailA remark on Schröder's equation: Formal and analytic linearization of iterative roots of the power series f(z)=z
Reich, Ludwig; Tomaschek, Jörg UL

in Monatshefte für Mathematik (in press)

We study Schröder’s equation (i.e. the problem of linearization) for local analytic functions F with F (0)=0, F(0)=1, F(0) a root of 1. While Schröder’s equation in this case need not have even a formal ... [more ▼]

We study Schröder’s equation (i.e. the problem of linearization) for local analytic functions F with F (0)=0, F(0)=1, F(0) a root of 1. While Schröder’s equation in this case need not have even a formal solution, we show that if F is formally linearizable, then it can also be linearized by an invertible local analytic transformation. On the other hand, there exist also divergent series solutions of Schröder’s equation in this situation. We give some applications of our results to iterative functional equations, functional-differential equations and iteration groups. [less ▲]

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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 detailAcyclic, connected and tree sets
Berthé, Valerie; De Felice, Clelia; Dolce, Franesco et al

in Monatshefte für Mathematik (2014)

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See detailHow large dimension guarantees a given angle?
Harangi, Viktor; Keleti, Tamas; Kiss, Gergely UL et al

in Monatshefte für Mathematik (2013), 171(2), 169-187

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See detailFlat orbits, minimal ideals and spectral synthesis
Ludwig, Jean; Molitor-Braun, Carine UL

in Monatshefte für Mathematik (2010), 160(3), 271-312

Detailed reference viewed: 131 (4 UL)