The generalized fundamental equation of information on symmetric cones

TL;DR

This paper extends the fundamental equation of information to symmetric cone domains and provides a general solution assuming continuity of the involved functions.

Contribution

It introduces a generalized form of the fundamental equation of information specifically for symmetric cones and derives its solutions.

Findings

Generalized fundamental equation of information on symmetric cones

Explicit solutions under continuity assumptions

Framework for future research in information theory on cones

Abstract

In this paper we generalize the fundamental equation of information to the symmetric cone domain and find general solution under the assumption of continuity of respective functions.