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 (In Press)

Text (Bingham-Ostaszewski_Goldie-2_LSE) - Accepted Version Pending embargo until 1 January 2100. Download (211kB)

Abstract

This first of three sequels to Homomorphisms from Functional equations: The Goldie equation [Ost2] 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 [BinO5]. 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
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	14 Oct 2024 08:15
Last Modified:	24 Oct 2024 08:30
URI:	http://eprints.lse.ac.uk/id/eprint/125705

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