✦ LIBER ✦
Uncertainty principle and Lp–Lq-sufficient pairs on noncompact real symmetric spaces
✍ Scribed by Slaim Ben Farah; Kamel Mokni
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 99 KB
- Volume
- 336
- Category
- Article
- ISSN
- 1631-073X
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✦ Synopsis
We consider a real semi-simple Lie group G with finite center and a maximal compact sub-group K of G. Let G = K exp(a + )K be a Cartan decomposition of G. For x ∈ G denote x the norm of the a + -component of x in the Cartan decomposition of G. Let a > 0, b > 0 and 1 p, q ∞. In this Note we give necessary and sufficient conditions on a, b such that for all K-bi-invariant measurable function f on G, if e a x 2 f ∈ L p (G) and e b λ 2 F(f ) ∈ L q (a * + ) then f = 0 almost everywhere. To cite this article: S.