Talk:Titchmarsh convolution theorem

This article now says this:

If $\phi \,(t)$ and $\psi (t)\,$ are integrable functions, such that

$\int _{0}^{x}\phi (t)\psi (x-t)\,dt=0$

almost everywhere in the interval $0<x<\kappa \,$, then $\phi (t)=0\,$ almost everywhere in $(0,\lambda )\,$, and $\psi (t)=0\,$ almost everywhere in $(0,\mu )\,$, where $\lambda +\mu \geq \kappa$.

Does this mean there exist values of λ, μ for which that holds? If so, it should say so explicitly. This way of using the word "where" should be reserved for things like saying what the notation means. Sometimes when people use "where" as a quantifier in this way, they mean "for some", and sometimes the mean "for all", and they're leaving the reader to figure out which. That's an abominable way of using language. Michael Hardy (talk) 15:47, 6 October 2010 (UTC)