Harmonic Analysis
Springer Berlin (Hersteller)
978-3-540-37381-0 (ISBN)
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.
| Erscheint lt. Verlag | 23.11.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Physics |
| Physics and Astronomy | Physics and Astronomy (R0) |
| Zusatzinfo | X, 283 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Physik / Astronomie ► Hochenergiephysik / Teilchenphysik | |
| Naturwissenschaften ► Physik / Astronomie ► Mechanik | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | Analysis • Group • Harmonic Analysis • Minkowski spacetime • quantum field • quantum field theory • Wave |
| ISBN-10 | 3-540-37381-0 / 3540373810 |
| ISBN-13 | 978-3-540-37381-0 / 9783540373810 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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