Homomorphisms from functional equations: the Goldie equation
作者： A. J. Ostaszewski
DOI: 10.1007/S00010-015-0357-Z
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摘要: The theory of regular variation, in its Karamata and Bojanic–Karamata/de Haan forms, is long established makes essential use the Cauchy functional equation. Both forms are subsumed within recent Beurling developed elsewhere. Various generalizations equation, including Goląb–Schinzel equation (GS) Goldie’s (GBE) below, prominent there. Here we unify their treatment by ‘algebraicization’: extensive group structures introduced Popa Javor 1960s turns all various (known) solutions into homomorphisms, fact identifying them ‘en passant’, show that present everywhere, even if a thick disguise.
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