03486nam 22005775 450 99646683140331620200706232409.03-540-37381-010.1007/BFb0009678(CKB)1000000000229834(DE-He213)978-3-540-37381-0(PPN)15519514X(EXLCZ)99100000000022983420121227d1977 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierHarmonic 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. Todorov1st ed. 1977.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1977.1 online resource (X, 283 p.) Lecture Notes in Physics,0075-8450 ;633-540-08150-X 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.Lecture Notes in Physics,0075-8450 ;63Quantum field theoryString theoryAcousticsHarmonic analysisQuantum Field Theories, String Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/P19048Acousticshttps://scigraph.springernature.com/ontologies/product-market-codes/P21069Abstract Harmonic Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12015Quantum field theory.String theory.Acoustics.Harmonic analysis.Quantum Field Theories, String Theory.Acoustics.Abstract Harmonic Analysis.530.14Dobrev V. Kauthttp://id.loc.gov/vocabulary/relators/aut468747Mack Gauthttp://id.loc.gov/vocabulary/relators/autPetkova V. Bauthttp://id.loc.gov/vocabulary/relators/autPetrova S. Gauthttp://id.loc.gov/vocabulary/relators/autTodorov I. Tauthttp://id.loc.gov/vocabulary/relators/autBOOK996466831403316Harmonic Analysis2532299UNISA