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arXiv · 1303.4968

On multipliers on compact Lie groups

Michael Ruzhansky·Jens Wirth
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Abstract

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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BibTeXRIS

Michael Ruzhansky, Jens Wirth. 2013-03-20. On multipliers on compact Lie groups. https://doi.org/10.1007/s10688-013-0010-3

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