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

Tom 179 / 2007

Jacek Weso/lowski Studia Mathematica 179 (2007), 263-275 MSC: 39B52, 39B22, 17A15, 62H05. DOI: 10.4064/sm179-3-4

Streszczenie

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.

Autorzy

  • Jacek Weso/lowskiWydzia/l Matematyki i Nauk Informacyjnych
    Politechnika Warszawska
    00-661 Warszawa, Poland
    e-mail

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