Harmonic Analysis

V. K. Dobrev

ISBN 10: 354008150X / ISBN 13: 9783540081500

Published by Springer, Springer Vieweg Apr 1977, 1977

About this Item

This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 296 pp. Englisch.

Seller Inventory # 9783540081500

Bibliographic Details

• Title: Harmonic Analysis
• Publisher: Springer, Springer Vieweg Apr 1977
• Publication Date: 1977
• Language: English
• ISBN 10: 354008150X
• ISBN 13: 9783540081500
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 244W x 170H x 17D millimeters 244 millimeters width by 170 millimeters height by 17 millimeters depth
• Weight: 515 grams

About this title

Synopsis

1. Group structure. Preliminaries.- 2. Induced representations. Definition and various realizations.- 3. Further properties of the elementary representations.- 4. Intertwining 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.