%0 Journal Article %T Lp Fourier multipliers on compact Lie groups %A Michael Ruzhansky %A Jens Wirth %J Mathematics %D 2011 %I arXiv %R 10.1007/s00209-015-1440-9 %X In this paper we prove Lp multiplier theorems for invariant and non-invariant operators on compact Lie groups in the spirit of the well-known Hormander-Mikhlin theorem on Rn and its variants on tori Tn. We also give applications to a-priori estimates for non-hypoelliptic operators. Already in the case of tori we get an interesting refinement of the classical multiplier theorem. %U http://arxiv.org/abs/1102.3988v3