What does the abbreviation "p.p." mean when referring to convergence? E.g. in [the following paper](https://www.jstor.org/stable/2037625) by Harry Pollard



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> THEOREM. If $f \in L^p$ for some $p$ in the range $\tfrac{4}{3} <p < \infty$, then its Legendre
>  series converges **p.p**. The result fails if $1 <p<\tfrac{4}{3}$.
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> [The Convergence Almost Everywhere of Legendre Series](https://www.jstor.org/stable/2037625), Harry Pollard
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I am familiar with convergence a.s., a.e., in probability, in expectation, etc. Does this mean point-wise?



What does the abbreviation "p.p." mean in the context of convergence
This appears to be an abbreviation for *presque partout*, meaning almost everywhere. In the article you cite, reference is made to a paper of Hunt; the MathSciNet review for Hunt's paper (MR0236019) is in French, and begins



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> Il s'agit d'améliorations substantielles apportées au théorème de Carleson sur la convergence presque partout des séries de Fourier...
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