On multipliers on compact Lie groups

@article{Ruzhansky2013OnMO,
  title={On multipliers on compact Lie groups},
  author={Michael Ruzhansky and J. Wirth},
  journal={Functional Analysis and Its Applications},
  year={2013},
  volume={47},
  pages={72-75}
}
In this note we announce Lp multiplier theorems for invariant and noninvariant operators on compact Lie groups in the spirit of the well-known Hörmander-Mikhlin theorem on ℝn and its versions on the torus $$\mathbb{T}^n$$. Applications to mapping properties of pseudo-differential operators on Lp-spaces and to a priori estimates for nonhypoelliptic operators are given. 
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