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Pointwise estimates for some kernels on compact Lie groups

✍ Scribed by Michael Cowling; Anna Maria Mantero; Fulvio Ricci


Book ID
112908111
Publisher
Springer Milan
Year
1982
Tongue
Italian
Weight
407 KB
Volume
31
Category
Article
ISSN
0009-725X

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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