Transferring Fourier Multipliers from Rn to Compact Lie Groups

2021/07/28 by Maher, David G
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2107.13164

Abstract

This paper uses the wrapping map of Dooley and Wildberger to prove Lp boundedness of multipliers on compact Lie groups by transferring the estimate from Rn. This improves the bounds in several cases, and simplifies the proofs of others.

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