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arxiv: 1303.4968 · v1 · pith:PWVQ6HRWnew · submitted 2013-03-20 · 🧮 math.FA · math.AP· math.RT

On multipliers on compact Lie groups

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keywords operatorscompactgroupsa-prioriannounceapplicationsestimatesgiven
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In this note we announce 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. Applications are given to the mapping properties of pseudo-differential operators on Lp-spaces and to a-priori estimates for non-hypoelliptic operators.

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