Homomorphisms from functional equations: The Goldie equation, II

Bingham, N. H. and Ostaszewski, Adam ORCID: 0000-0003-2630-8663 (2024) Homomorphisms from functional equations: The Goldie equation, II. Aequationes Mathematicae. ISSN 0001-9054

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Abstract

This first of three sequels to Homomorphisms from Functional equations: The Goldie equation (Ostaszewski in Aequationes Math 90:427–448, 2016) by the second author—the second of the resulting quartet—starts from the Goldie functional equation arising in the general regular variation of our joint paper (Bingham et al. in J Math Anal Appl 483:123610, 2020). We extend the work there in two directions. First, we algebraicize the theory, by systematic use of certain groups—the Popa groups arising in earlier work by Popa, and their relatives the Javor groups. Secondly, we extend from the original context on the real line to multi-dimensional (or infinite-dimensional) settings.

Item Type:	Article
Additional Information:	© 2024 The Author(s)
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	14 Oct 2024 08:15
Last Modified:	12 Dec 2024 04:31
URI:	http://eprints.lse.ac.uk/id/eprint/125705

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