Symmetry Breaking for Representations of Rank One Orthogonal Groups |
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| Author:
| Kobayashi, Toshiyuki
Speh, Birgit |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-1-4704-1922-6 |
| Publication Date: | Dec 2015 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | AUD $115.00 |
Book Description:
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The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of $G=O(n+1,1)$ and $G'=O(n,1)$. They construct three meromorphic families of the symmetry breaking operators, and find their distribution kernels and their residues at all poles explicitly.
The authors give a complete classification of intertwining operators (symmetry breaking operators) between spherical principal series representations of $G=O(n+1,1)$ and $G'=O(n,1)$. They construct three meromorphic families of the symmetry breaking operators, and find their distribution kernels and their residues at all poles explicitly.