Multiplicative Cauchy functional equation on symmetric cones

Abstract

We solve the multiplicative Cauchy functional equation on symmetric cones with respect to two different multiplication algorithms. We impose no regularity assumptions on respective functions.

15 pages

References in corpus (1)

• The Lukacs-Olkin-Rubin theorem on symmetric cones through Gleason's theorem

Cited by in corpus (5)

• The Lukacs-Olkin-Rubin theorem on symmetric cones without invariance of the "quotient"
• Characterization of beta distribution on symmetric cones
• The Matsumoto--Yor Property and Its Converse on Symmetric Cones
• A Matsumoto-Yor characterization for Kummer and Wishart random matrices
• The generalized fundamental equation of information on symmetric cones