abstract
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The ALICE experiment at the LHC has studied inclusive J/$\psi$ production at
central and forward rapidities in pp collisions at $\sqrt{s} = 7$ TeV. In this
Letter, we report on the first results obtained detecting the J/$\psi$ through
its dilepton decay into $e^+e^-$ and $\mu^+\mu^-$ pairs in the rapidity range
|y|<0.9 and 2.5