Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone

DOI10.4064/sm179-3-4zbMath1114.39009OpenAlexW1964437599MaRDI QIDQ3426780

Jacek Wesołowski

Publication date: 13 March 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm179-3-4

zbMATH Keywords

functional equationsdeterminantgamma distributionrelativity theorygeneralized power functionsJordan productLorentz cone

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Determinants, permanents, traces, other special matrix functions (15A15) Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52) Methods of noncommutative geometry in general relativity (83C65) Elementary problems in Euclidean geometries (51M04)

Related Items (4)

The Lukacs-Olkin-Rubin theorem on symmetric cones without invariance of the ``quotient ⋮ The generalized fundamental equation of information on symmetric cones ⋮ Characterization of beta distribution on symmetric cones ⋮ Multiplicative Cauchy functional equation on symmetric cones

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