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We solve a functional equation connected to the algebraic characterization of generalized information functions. To prove the symmetry of the solution, we study a related system of functional equations, which involves two homographies. These transformations generate the modular group, and this...
The aim of this paper is to give a probabilistic (martingale) characterization to the general measurable solution of the Lobachevsky functional equation. We show that finding the general solution of this equation is equivalent to establishing that a space-transformation of a Brownian Motion by a...
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