Talk:Cauchy's functional equation
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Other solutions
[edit]The last section is titled "Proof of the existence of other solutions" Without the final line it merely constructs a family of solutions, without showing that they are different from the obvious linear solutions. I have therefore restored the last line. EdwardLockhart 16:24, 9 February 2007 (UTC)
Hilbert's fifth problem?
[edit]The lead says without further explanation "The fifth problem on Hilbert's list is a generalisation of this equation". Apart from the fact that it is curious for a problem to be a generalisation of an equation, this strikes me as a far-fetched claim. Certainly Hilbert's fifth problem has to do with continuous (group) operations. Can somebody explain this? Marc van Leeuwen (talk) 13:23, 4 December 2011 (UTC)
Extension to higher and infinite dimensions?
[edit]What do additive functions from one real vector space to another have to look like? It seems likely that they must be quite horrible when both spaces are finite-dimensional, but is that also true if one or both are infinite-dimensional spaces? Dfeuer (talk) 18:17, 29 October 2012 (UTC)