= Daniel Reem
{c}
<Daniel Reem> is a <mathematician> whose research includes <functional equations>. His work on the <Cauchy functional equation> examines existence, regularity and stability on subsets of <Euclidean spaces> and tori. It also studies variants such as the <Jensen functional equation> and multiplicative forms of the <Cauchy functional equation>.https://arxiv.org/abs/1002.3721[Remarks on the Cauchy functional equation and variations of it, author and abstract, version 7]{ref} The central issue is that the algebraic identity $f(x+y)=f(x)+f(y)$ alone permits pathological solutions on the real numbers. A suitable regularity assumption forces the familiar form $f(x)=cx$, so this subject clarifies how analytic hypotheses constrain algebraic identities.
Identity source: https://arxiv.org/pdf/1002.3721v7
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