TY - BOOK
AU - Kobayashi,Toshiyuki
AU - Speh,Birgit
TI - Symmetry breaking for representations of rank one orthogonal groups
T2 - Memoirs of the American Mathematical Society,
SN - 9781470426156 (online)
AV - QC793.3.S9 K63 2015
U1 - 512/.482 23
PY - 2015///
CY - Providence, Rhode Island
PB - American Mathematical Society
KW - Broken symmetry (Physics)
KW - Operator spaces
KW - Banach spaces
KW - Group theory
N1 - Includes bibliographical references; 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$-finite vectors and regular symmetry breaking operators �$\mathbb{A} _{휆, 휈}$; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2015
UR - http://www.ams.org/memo/1126/
UR - http://dx.doi.org/10.1090/memo/1126
ER -