Spaces of boundary values and regular extensions of Hermitian operators
β Scribed by S. A. Kuzhel'
- Book ID
- 112472222
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 373 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The image of the Poisson transform on a principal series representations on a boundary component of a Hermitian symmetric space is considered. We prove that the image is characterized by a covariant differential operator on a homogeneous line bundle on the symmetric space.
## Abstract Consider a differential form __u__ in the image of an integral operator __K__ on a smooth domain __D__ in a Riemannian manifold, i.e. __u__(__y__) = __Kf__(__y__) = β«~__x__β__D__~ __f__(__x__) β§ __K__(__x, y__) for __y__ β __D__. If the kernel __K__ of the integral operator is sufficien