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Cauchy's functional equation

Ciro Santilli (@cirosantilli, 37) Mathematics Functional equation
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version
Nice result on Lebesgue measurable required for uniqueness.

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Cauchy's functional equation by Wikipedia Bot 0
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Cauchy's functional equation is a well-known functional equation given by: \[ f(x + y) = f(x) + f(y) \] for all real numbers \(x\) and \(y\). This equation describes a function \(f\) that satisfies the property that the value of the function at the sum of two arguments is equal to the sum of the values of the function at each argument.
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