Symmetry breaking for representations of rank one orthogonal groups / [electronic resource] Toshiyuki Kobayashi, Birgit Speh.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2015

Mode of access : World Wide Web

Description based on print version record.