Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation

Bingham, N. H. and Ostaszewski, A. J. (2015) Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation. Aequationes Mathematicae, 89 (5). pp. 1293-1310. ISSN 0001-9054

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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.

Item Type:	Article
Official URL:	http://link.springer.com/journal/10
Additional Information:	© 2015 Springer Basel
Library of Congress subject classification:	Q Science > QA Mathematics
Sets:	Departments > Mathematics
Date Deposited:	10 Jun 2015 13:54
URL:	http://eprints.lse.ac.uk/62284/

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