Corpus ID: 201640476

Fourier multipliers on compact Lie groups

@inproceedings{Ruzhansky2015FourierMO,
  title={Fourier multipliers on compact Lie groups},
  author={Michael Ruzhansky and J. Wirth},
  year={2015}
}
In this paper we prove L p Fourier multiplier theorems for invariant and also noninvariant operators on compactLie groups in the spirit of thewell-knownHörmander–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. 
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