Cookies?
Library Header Image
LSE Research Online LSE Library Services

Polynomial Cauchy functional equations: a report

Mortini, Raymond, Pflug, Peter and Sasane, Amol (2024) Polynomial Cauchy functional equations: a report. Elemente der Mathematik. ISSN 1420-8962 (In Press)

[img] Text (Polynomial Cauchy functional equations) - Accepted Version
Pending embargo until 1 January 2100.

Download (151kB) | Request a copy

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: 16 May 2024 04:21
URI: http://eprints.lse.ac.uk/id/eprint/122253

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics