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Symmetry breaking for representations of rank one orthogonal groups /
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 an...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1126. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. Symmetry breaking operators at exceptional discrete parameters are thoroughly studied. The authors obtain closed formulae for the functional equations which the composition of the symmetry breaking operators with the Knapp--Stein intertwining operators of G and G. |
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| Notas: | "Volume 238, number 1126 (fourth of 6 numbers), November 2015." |
| Descripción Física: | 1 online resource (v, 112 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 109-110). |
| ISBN: | 9781470426156 1470426153 147041922X 9781470419226 |
| ISSN: | 0065-9266 ; |