| Description |
1 online resource (v, 112 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 238, number 1126 |
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Memoirs of the American Mathematical Society ; no. 1126.
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| Contents |
Chapter 1. Introduction Chapter 2. Symmetry breaking for the spherical principal series representations Chapter 3. Symmetry breaking operators Chapter 4. More about principal series representations Chapter 5. Double coset decomposition $P' \backslash G/P$ Chapter 6. Differential equations satisfied by the distribution kernels of symmetry breaking operators Chapter 7. $K$-finite vectors and regular symmetry breaking operators $\protect \widetilde {\mathbb {A}} _{\lambda, \nu }$ Chapter 8. Meromorphic continuation of regular symmetry breaking operators ${K}_{{\lambda }, {\nu }}̂{\mathbb {A}}$ Chapter 9. Singular symmetry breaking operator $\protect \widetilde {\mathbb {B}}_{\lambda, \nu }$ Chapter 10. Differential symmetry breaking operators Chapter 11. Classification of symmetry breaking operators Chapter 12. Residue formulae and functional identities Chapter 13. Image of symmetry breaking operators Chapter 14. Application to analysis on anti-de Sitter space Chapter 15. Application to branching laws of complementary series Chapter 16. Appendix |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 109-110) |
| Notes |
"Volume 238, number 1126 (fourth of 6 numbers), November 2015." |
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Print version record |
| Subject |
Broken symmetry (Physics)
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Operator spaces.
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Banach spaces.
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Group theory.
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Banach spaces
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Broken symmetry (Physics)
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Group theory
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Operator spaces
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Symmetriebrechung
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Operatorraum
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Reduktive Lie-Gruppe
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| Form |
Electronic book
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| Author |
Speh, Birgit, 1949- author.
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American Mathematical Society, publisher
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| ISBN |
9781470426156 |
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1470426153 |
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147041922X |
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9781470419226 |
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