Trace paley-wiener theorem for reductivep-adic groups
β Scribed by J. Bernstein; P. Deligne; D. Kazhdan
- Book ID
- 112895416
- Publisher
- Springer-Verlag
- Year
- 1986
- Tongue
- English
- Weight
- 613 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0021-7670
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper concerns itself with the problem of generalizing to nilpotent Lie groups a weak form of the classical Paley-Wiener theorem for \(\mathbb{R}^{n}\). The generalization is accomplished for a large subclass of nilpotent Lie groups, as well as for an interesting example not in this subclass. T
We prove a topological Paley Wiener theorem for the Fourier transform defined on the real hyperbolic spaces SO o ( p, q)ΓSO o ( p&1, q), for p, q # 2N, without restriction to K-types. We also obtain Paley Wiener type theorems for L \_ -Schwartz functions (0<\_ 2) for fixed K-types.