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
Invariant measures on G/Γ for split simple Lie groups G
✍ Scribed by Manfred Einsiedler; Anatole Katok
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 388 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0010-3640
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