Harmonic analysis on a class of spherical homogeneous spaces
✍ Scribed by N. E. Gorfinkel’
- Book ID
- 110150031
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 622 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0001-4346
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📜 SIMILAR VOLUMES
We investigate spherical functions on Sp 2 as a spherical homogeneous G=Sp 2 ×(Sp 1 ) 2 -space over a p-adic field k, which form a 4-dimensional vector space for each eigenvalue given by Satake parameter. Explicit expressions of spherical functions and Cartan decomposition of Sp 2 are given. Using s
Let K be a compact connected Lie group, L be a closed subgroup of K. It is well known that L is a subgroup of maximal rank of K if and only if the Euler characteristic of the manifold K/L is positive. The homotopy classification of such homogeneous spaces KIL in case L is connected was obtained in .
Let K be a compact connected Lie group, L be a connected closed subgroup of K. It is well known that L is a subgroup of maximal rank of K if and only if the Euler characteristic of the manifold M = K/L is positive. Such homogeneous spaces M have been classified in [7,10]. However, their topological