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An estimation problem in compact Lie groups

✍ Scribed by T.E. Duncan


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
683 KB
Volume
10
Category
Article
ISSN
0167-6911

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Let \(\mu\) be an invariant measure on a regular orbit in a compact Lie group or in a Lie algebra. We prove sharp \(L^{\prime \prime}-L^{4}\) estimates for the convolution operators defined through \(\mu\). We also obtain similar results for the related Radon transform on the Lie algebra. 1945 Acade