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On Baire measurable solutions of some functional equations. (English) Zbl 1190.39013

Author’s summary: We establish conditions under which Baire measurable solutions \(f\) of \[ \Gamma (x,y, |f(x)-f(y)|) = \Phi (x,y, f(x+ \phi_1 (y)),... f(x+ \phi_N (y))) \] defined on a metrizable topological group are continuous at zero.

MSC:

39B52 Functional equations for functions with more general domains and/or ranges
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