Central limit theorem on noncompact Riemannian symmetric spaces of rank one
β Scribed by Fuliu Zhu
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 180 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1001-6538
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π SIMILAR VOLUMES
Let X=GΓK be a noncompact symmetric space of real rank one. The purpose of this paper is to investigate L p boundedness properties of a certain class of radial Fourier integral operators on the space X. We will prove that if u { is the solution at some fixed time { of the natural wave equation on X
On a symmetric space X=GΓK of noncompact type, we consider the formulas where 8 \* is the spherical function on X. Taken together they represent, the synthesis and decomposition formulas for appropriate functions f on X in terms of joint eigenfunctions of the invariant differential operators on X.