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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 |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1126. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
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| 003 | OCoLC | ||
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| 020 | |a 9781470419226 | ||
| 020 | |z 9781470419226 |q (print) | ||
| 020 | |z 147041922X |q (print) | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Kobayashi, Toshiyuki, |d 1962- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJxrX99RxdGKQWMwmDBHG3 | |
| 245 | 1 | 0 | |a Symmetry breaking for representations of rank one orthogonal groups / |c Toshiyuki Kobayashi, Birgit Speh. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2015. | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (v, 112 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 238, number 1126 | |
| 588 | 0 | |a Print version record. | |
| 504 | |a Includes bibliographical references (pages 109-110). | ||
| 500 | |a "Volume 238, number 1126 (fourth of 6 numbers), November 2015." | ||
| 520 | |a 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. | ||
| 505 | 0 | 0 | |t Chapter 1. Introduction |t Chapter 2. Symmetry breaking for the spherical principal series representations |t Chapter 3. Symmetry breaking operators |t Chapter 4. More about principal series representations |t Chapter 5. Double coset decomposition $P' \backslash G/P$ |t Chapter 6. Differential equations satisfied by the distribution kernels of symmetry breaking operators |t Chapter 7. $K$-finite vectors and regular symmetry breaking operators $\protect \widetilde {\mathbb {A}} _{\lambda, \nu }$ |t Chapter 8. Meromorphic continuation of regular symmetry breaking operators ${K}_{{\lambda }, {\nu }}̂{\mathbb {A}}$ |t Chapter 9. Singular symmetry breaking operator $\protect \widetilde {\mathbb {B}}_{\lambda, \nu }$ |t Chapter 10. Differential symmetry breaking operators |t Chapter 11. Classification of symmetry breaking operators |t Chapter 12. Residue formulae and functional identities |t Chapter 13. Image of symmetry breaking operators |t Chapter 14. Application to analysis on anti-de Sitter space |t Chapter 15. Application to branching laws of complementary series |t Chapter 16. Appendix |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Broken symmetry (Physics) | |
| 650 | 0 | |a Operator spaces. | |
| 650 | 0 | |a Banach spaces. | |
| 650 | 0 | |a Group theory. | |
| 650 | 6 | |a Symétrie brisée (Physique) | |
| 650 | 6 | |a Espaces d'opérateurs. | |
| 650 | 6 | |a Espaces de Banach. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a Banach spaces |2 fast | |
| 650 | 7 | |a Broken symmetry (Physics) |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Operator spaces |2 fast | |
| 650 | 7 | |a Symmetriebrechung |2 gnd | |
| 650 | 7 | |a Operatorraum |2 gnd | |
| 650 | 7 | |a Reduktive Lie-Gruppe |2 gnd | |
| 700 | 1 | |a Speh, Birgit, |d 1949- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJkxHvwktdphXWvJwVbDbd | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Symmetry breaking for representations of rank one orthogonal groups (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG4DrWWjRFGQK94gPf3jfm |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Kobayashi, Toshiyuki, 1962- |t Symmetry breaking for representations of rank one orthogonal groups. |d Providence, Rhode Island : American Mathematical Society, 2015 |z 9781470419226 |w (DLC) 2015027247 |w (OCoLC)916408495 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1126. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4832036 |z Texto completo |
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