Harmonic Analysis On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory

Bibliographic Details
Main Authors: Dobrev, V. K., Mack, G. (Author), Petkova, V. B. (Author), Petrova, S. G. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1977, 1977
Edition:1st ed. 1977
Series:Lecture Notes in Physics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Dobrev, V. K. 
245 0 0 |a Harmonic Analysis  |h Elektronische Ressource  |b On the n-Dimensional Lorentz Group and Its Application to Conformal Quantum Field Theory  |c by V. K. Dobrev, G. Mack, V. B. Petkova, S. G. Petrova, I. T. Todorov 
250 |a 1st ed. 1977 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1977, 1977 
300 |a X, 283 p  |b online resource 
505 0 |a 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 
653 |a String theory 
653 |a Quantum field theory 
653 |a Harmonic analysis 
653 |a Acoustics 
653 |a Acoustics 
653 |a Abstract Harmonic Analysis 
653 |a Quantum Field Theories, String Theory 
700 1 |a Mack, G.  |e [author] 
700 1 |a Petkova, V. B.  |e [author] 
700 1 |a Petrova, S. G.  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Physics 
856 4 0 |u https://doi.org/10.1007/BFb0009678?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 530.14