Harmonic Analysis [electronic resource] : on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory / by V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, I. T. Todorov.
Material type: TextSeries: Lecture Notes in Physics ; 63Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1977Description: X, 283 p. online resourceContent type:- text
- computer
- online resource
- 9783540373810
- 530.14 23
- QC174.45-174.52
1. Group structure. Preliminaries -- 2. Induced representations. Definition and various realizations -- 3. Further properties of the elementary representations -- 4. Intertwining operators: X-space realization -- 5. Momentum space expansion of the intertwining distribution and positivity -- 6. Nondecomposable representations and intertwining differential operators -- 7. Discrete and general properties of the discrete series -- 8. The Plancheral theorem. Concluding remarks -- 9. The Kronecker product of two elementary representations -- 10. Construction of the Clebsch Gordan expansion -- 11. Special cases and further properties of the expansion formula -- 12. Renormalizable models of self-interacting scalar fields. Dynamical equations for Green functions -- 13. Invariance and invariant solutions of the dynamical equations. Conformal partial wave expansion for the Euclidean Green functions -- 14. Implications of the dynamical equations. Pole structure of conformal partial waves -- 15. Another form of the conformal expansion, involving a Minkowski momentum space integral. The Q-kernels -- 16. The problem of crossing symmetry. Concluding remarks.
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