Does anyone know how to express the general solution to the Cauchy functional equation $\phi(a+b)=\phi(a)\phi(b)$ considered in a Hamel basis? I think that it makes sense when $\dfrac{L(\phi(a))}{a}$ is not a constant. Am I wrong?

  • 2
    $\begingroup$ Does this answer your question? General solution considering Hamel basis $\endgroup$ – Panagiotis Konstantis Feb 9 at 7:06
  • $\begingroup$ I posted it yesterday, but my question had a typo... $\endgroup$ – DavidJHop Feb 9 at 7:10
  • 2
    $\begingroup$ The usual procedure is to edit your old question so that it no longer has a typo. This also causes it to be re-bumped to the front page as if it were a new question. Posting a duplicate with a correction to the typo is counter-productive, because the old question is still around. Therefore I think it's a good idea to concentrate on the old question and remove this one. $\endgroup$ – Robert Furber Feb 9 at 7:17
  • 1
    $\begingroup$ I know, but my old question is closed... $\endgroup$ – DavidJHop Feb 9 at 7:21