Polynomial Cauchy functional equations: a report

Mortini, Raymond, Pflug, Peter and Sasane, Amol ORCID: 0000-0001-5566-9877 (2024) Polynomial Cauchy functional equations: a report. Elemente der Mathematik. ISSN 1420-8962

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Abstract

We study the functional equation f(x + y) − f(x) − f(y) ∈ R[x, y], determine under a natural additional condition all solutions and show that the only continuous solutions are polynomials.

Item Type:	Article
Official URL:	https://ems.press/journals/em
Additional Information:	© 2024 EMS Press
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	08 Mar 2024 11:45
Last Modified:	01 Oct 2024 03:54
URI:	http://eprints.lse.ac.uk/id/eprint/122253

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