A sharp isoperimetric inequality for rank one symmetric spaces
โ Scribed by Thorsten Thies
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 114 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let X = G/K be a rank-one Riemannian symmetric space of the noncompact type and letbe the Laplace-Beltrami operator on X. We show that the resolvent operator R(z) of can be meromorphically continued across the spectrum and explicitly determine the poles, i.e. the resonances. Further we describe the
This paper develops necessary and sufficient conditions for pointwise inversion of Fourier transforms on rank one symmetric spaces of non-compact type for functions in the piecewise smooth category. This extends results of Pinsky for isotropic Riemannian manifolds of constant curvature. Methodologic