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Classification and Fourier inversion for parabolic subgroups with square integrable nilradical
About this Title
Joseph A. Wolf
Publication: Memoirs of the American Mathematical Society
Publication Year:
1979; Volume 22, Number 225
ISBNs: 978-0-8218-2225-8 (print); 978-1-4704-0629-5 (online)
DOI: https://doi.org/10.1090/memo/0225
MathSciNet review: 546511
MSC: Primary 22E45
Table of Contents
Chapters
- 1. Introduction
- Part I. Classification
- 2. Square integrability for nilpotent groups
- 3. Square integrability for nilradicals
- 4. Classification in the real split classical groups
- 5. Passage to the general classical group
- 6. Classification in the real split exceptional groups
- 7. Passage to the general exceptional group
- 8. Three consequences of the classification
- Part II. Fourier inversion
- 9. Framework for Fourier inversion
- 10. Fourier inversion inside groups of type A
- 11. Fourier inversion inside groups of types B and D
- 12. Fourier inversion inside groups of type C
- 13. Fourier inversion inside the group $G_2$
- l4. Fourier inversion inside the group $F_4$
- 15. Fourier inversion inside the group $E_6$
- 16. Fourier inversion inside the group $E_7$
- 17. Fourier inversion inside the group $E_8$