Open Access
Multipliers on Compact Lie Groups
Proceedings Of The National Academy Of SciencesPeer ReviewedNorman J. Weiss1971Journals
Sufficient conditions are found for a biinvariant operator on a compact Lie group to be bounded onLp , 1 <p < ∞. The proof uses properties ofg -functions on such a group, and an analog to the familiar relationship between differentiation and multiplication under the Fourier transform.

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