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math.CA2014
Homomorphisms from Functional Equations: The Goldie Equation
Adam J. Ostaszewski
The theory of regular variation, in its Karamata and Bojanić-Karamata/de Haan forms, is long established and makes essential use of the Cauchy functional equation. Both forms are s…
math.CA2014★ 2 cited
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
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 f…