Geodesic
Multiplicative Cauchy functional equation and the equation of ratios on the Lorentz cone
Jacek Weso/lowski1
1 Wydzia/l Matematyki i Nauk Informacyjnych Politechnika Warszawska 00-661 Warszawa, Poland
Studia Mathematica, Tome 179 (2007) no. 3, pp. 263-275

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is proved that the solution of the multiplicative Cauchy functional equation on the Lorentz cone of dimension greater than two is a power function of the determinant. The equation is solved in full generality, i.e. no smoothness assumptions on the unknown function are imposed. Also the functional equation of ratios, of a similar nature, is solved in full generality.
DOI : 10.4064/sm179-3-4
Keywords: proved solution multiplicative cauchy functional equation lorentz cone dimension greater power function determinant equation solved full generality smoothness assumptions unknown function imposed functional equation ratios similar nature solved full generality

Jacek Weso/lowski 1

1 Wydzia/l Matematyki i Nauk Informacyjnych Politechnika Warszawska 00-661 Warszawa, Poland 
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Jacek Weso/lowski. Multiplicative Cauchy functional equation and
 the equation of ratios on the Lorentz cone. Studia Mathematica, Tome 179 (2007) no. 3, pp. 263-275. doi: 10.4064/sm179-3-4

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