Harmonic Analysis
Dobrev, V. K.
Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory / [electronic resource] : by V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, I. T. Todorov. - X, 283 p. online resource. - Lecture Notes in Physics, 63 0075-8450 ; . - Lecture Notes in Physics, 63 .
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.
9783540373810
10.1007/BFb0009678 doi
Acoustics.
Harmonic analysis.
Quantum Field Theories, String Theory.
Acoustics.
Abstract Harmonic Analysis.
QC174.45-174.52
530.14
Harmonic Analysis on the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory / [electronic resource] : by V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, I. T. Todorov. - X, 283 p. online resource. - Lecture Notes in Physics, 63 0075-8450 ; . - Lecture Notes in Physics, 63 .
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.
9783540373810
10.1007/BFb0009678 doi
Acoustics.
Harmonic analysis.
Quantum Field Theories, String Theory.
Acoustics.
Abstract Harmonic Analysis.
QC174.45-174.52
530.14