Extended automorphic forms on the upper half plane
β Scribed by W. Casselman
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 410 KB
- Volume
- 296
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
Let P s NAM be the minimal parabolic subgroup of SU n q 1, 1 , which can be regarded as the affine automorphism group of the Siegel upper half-plane U nq 1 , P also acts on the Heisenberg group H n , the boundary of U nq 1 . Therefore P has a 2 Ε½ n . 2 Ε½ n . natural representation U on L H . We deco
In the first part of the paper we show that the Busemann 1-compactification of the Siegel upper half plane of rank n : SH n = Sp(n, R)/K n is the compactification as a bounded domain. In the second part of the paper we study certain properties of discrete groups of biholomorphisms of SH n . We show