Harmonic analysis : the n-dimensional Lorentz group and its application to conformal quantum field theory

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Bibliografske podrobnosti
Auteurs principaux: Dobrev, Vladimir, 1946-, Mack, Gerhard, 1940-...., physicien-théoricien (Auteur), Petkova, Violeta, 1977- (Auteur)
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija:Lecture notes in physics 63
Teme:
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Sporočilo: Archives Springer e-books (Licence nationale)
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Harmonic analysis, the n-dimensional Lorentz group and its application to conformal quantum field theory, V. K. Dobrev, G. Mack, V.B. Petkova [et al.], Berlin, Springer-Verlag, 1977, 1 vol. (X-280 p.), Lecture notes in physics, 978-3-540-08150-0
• Harmonic Analysis, Texte imprimé, 9783662195765
Kazalo:
  • 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.