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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

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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 $E_8$