Uniform estimates for spherical functions on complex semisimple Lie groups
β Scribed by M. Cowling; A. Nevo
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 339 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1016-443X
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π SIMILAR VOLUMES
Let G be a real rank one semisimple Lie group and K a maximal compact subgroup of G. Radial maximal operators for suitable dilations, the heat and Poisson maximal operators, and the Riesz transform, which act on K-bi-invariant functions on G, satisfy the L p -norm inequalities for p>1 and a weak typ
The surjectivity of the exponential function of complex algebraic, in particular of complex semisimple Lie groups, and of complex splittable Lie groups is equivalent to the connectedness of the centralizers of the nilpotent elements in the Lie algebra. This implies that the only complex semisimple L