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On the Functional Equation of Periodic Lines

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Abstract

It will be proved that the functional equation of periodic lines has no solution for hyperbolic distances.

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References

  1. Benz, W.: Metric and Periodic Lines in Real Inner Product Space Geometries. Monatshefte f. Mathematik, to appear.

  2. Benz, W.: Hyperbolic distances in Hilbert spaces. Aequationes Math. 58 (1999) 16–30.

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  3. Blumenthal, L.M. and Menger, K.: Studies in Geometry. W. H. Freeman and Comp., San Francisco, 1970.

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  1. Mathematisches Seminar der Universität, Bundesstr. 55, 20146, Hamburg

    Walter Benz Hamburg

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  1. Walter Benz Hamburg
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Hamburg, W.B. On the Functional Equation of Periodic Lines. Results. Math. 44, 41–43 (2003). https://doi.org/10.1007/BF03322911

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  • DOI: https://doi.org/10.1007/BF03322911

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