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Functions that are both g- and h-additive

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Abstract.

We caracterise the functions \( \varphi \), that are simultaneously g-additive and h-additive if the bases g, h don’t divide each other: \( \varphi \) is a linear combination of step-functions and functions that are periodic and constant on some subblocs.

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Authors and Affiliations

  1. Institute of Mathematics of the University of Freiburg, Eckerstr. 1, D-79104 Freiburg, Germany,¶jcp@arcade.mathematik.uni-freiburg.de¶spilker@math.uni-freiburg.de, , , , , , DE

    J.-C. Puchta & J. Spilker

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  1. J.-C. Puchta
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  2. J. Spilker
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Received: 14 May 2001

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Puchta, JC., Spilker, J. Functions that are both g- and h-additive. Arch.Math. 80, 264–270 (2003). https://doi.org/10.1007/s00013-003-4585-4

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  • DOI: https://doi.org/10.1007/s00013-003-4585-4

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