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Record Nr. |
UNISA996466831403316 |
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Autore |
Dobrev V. K |
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Titolo |
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 |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1977 |
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ISBN |
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Edizione |
[1st ed. 1977.] |
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Descrizione fisica |
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1 online resource (X, 283 p.) |
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Collana |
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Lecture Notes in Physics, , 0075-8450 ; ; 63 |
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Disciplina |
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Soggetti |
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Quantum field theory |
String theory |
Acoustics |
Harmonic analysis |
Quantum Field Theories, String Theory |
Abstract Harmonic Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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 |
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space integral. The Q-kernels -- 16. The problem of crossing symmetry. Concluding remarks. |
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