Let X=GÂK 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 the Poisson Transform on Symmetric Spaces of Real Rank One
✍ Scribed by Alexandru D. Ionescu
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 134 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
In this paper we investigate L 2 boundedness properties of the Poisson transform associated to a symmetric space of real rank one and prove a related Planchereltype theorem.
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