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arXiv · 1405.3947

Cauchy's functional equation and extensions: Goldie's equation and inequality, the Gołąb-Schinzel equation and Beurling's equation

N. H. Bingham·A. J. Ostaszewski
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Abstract

The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its counterpart in Beurling regular variation, together with the related Gołąb-Schinzel equation.

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N. H. Bingham, A. J. Ostaszewski. 2014-06-02. Cauchy's functional equation and extensions: Goldie's equation and inequality, the Gołąb-Schinzel equation and Beurling's equation. https://arxiv.org/abs/1405.3947

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