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Noncommutative Harmonic Analysis
About this Title
Michael E. Taylor, University of North Carolina, Chapel Hill, NC
Publication: Mathematical Surveys and Monographs
Publication Year:
1986; Volume 22
ISBNs: 978-0-8218-1523-6 (print); 978-1-4704-1249-4 (online)
DOI: https://doi.org/10.1090/surv/022
MathSciNet review: MR852988
MSC: Primary 22E30; Secondary 43A65
Table of Contents
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Front/Back Matter
Chapters
- 0. Some basic concepts of Lie group representation theory
- 1. The Heisenberg group
- 2. The unitary group
- 3. Compact Lie groups
- 4. Harmonic analysis on spheres
- 5. Induced representations, systems of imprimitivity, and semidirect products
- 6. Nilpotent Lie groups
- 7. Harmonic analysis on cones
- 8. $\mathrm {SL}(2, R)$
- 9. $\mathrm {SL}(2, \textbf {C})$ and more general Lorentz groups
- 10. Groups of conformal transformations
- 11. The symplectic group and the metaplectic group
- 12. Spinors
- 13. Semisimple Lie groups