The generalized fundamental equation of information on symmetric cones

DOI10.1007/s00010-016-0416-0zbMath1353.39021arXiv1501.02575OpenAlexW3098732040WikidataQ57735334 ScholiaQ57735334MaRDI QIDQ329384

Bartosz Kołodziejek

Publication date: 21 October 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02575

zbMATH Keywords

functional equationssymmetric conesdivision algorithmfundamental equation of informationMaksa's theorem

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Measures of information, entropy (94A17)

Related Items (1)

A Matsumoto-Yor characterization for Kummer and Wishart random matrices

Cites Work

• The Lukacs-Olkin-Rubin theorem on symmetric cones without invariance of the ``quotient
• Multiplicative type functional equations arising from characterization problems
• Functional equations arisen from the characterization of beta distributions
• Characterization of beta distribution on symmetric cones
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• Generalized fundamental equation of information of multiplicative type
• The fundamental equation of information and its generalizations
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• The Lukacs-Olkin-Rubin characterization of Wishart distributions on symmetric cones
• Multiplicative Cauchy functional equation on symmetric cones
• On a functional equation related to an independence property for beta distributions
• Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone
• Functional Equations and Inequalities with Applications
• A Characterization of the Wishart Distribution
• Multiplicative Cauchy functional equation in the cone of positive-definite symmetric matrices
• A remark on the Kochen-Specker theorem and some characterizations of the determinant on sets of Hermitian matrices
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