The Plancherel theorem for general semisimple groups

Rebecca A. Herb; Joseph A. Wolf

Compositio Mathematica (1986)

  • Volume: 57, Issue: 3, page 271-355
  • ISSN: 0010-437X

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Herb, Rebecca A., and Wolf, Joseph A.. "The Plancherel theorem for general semisimple groups." Compositio Mathematica 57.3 (1986): 271-355. <http://eudml.org/doc/89757>.

@article{Herb1986,
author = {Herb, Rebecca A., Wolf, Joseph A.},
journal = {Compositio Mathematica},
keywords = {Plancherel theorem; semisimple Lie groups; reductive Lie groups},
language = {eng},
number = {3},
pages = {271-355},
publisher = {Martinus Nijhoff Publishers},
title = {The Plancherel theorem for general semisimple groups},
url = {http://eudml.org/doc/89757},
volume = {57},
year = {1986},
}

TY - JOUR
AU - Herb, Rebecca A.
AU - Wolf, Joseph A.
TI - The Plancherel theorem for general semisimple groups
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 57
IS - 3
SP - 271
EP - 355
LA - eng
KW - Plancherel theorem; semisimple Lie groups; reductive Lie groups
UR - http://eudml.org/doc/89757
ER -

References

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  7. 5 T.J. Enright and J.A. Wolf: Continuation of unitary derived functor modules out of the canonical chamberAnalyse Harmonique sur les Groupes de Lie et les èspaces symétriques, Actes du colloque du Kleebach, 1983, Mémoire de la Societé Math. de France, 112 (1984) 139-156. Zbl0582.22013MR789083
  8. 6 Harish-Chandra: (a) Discrete series for semisimple Lie groups I, Acta Math.113 (1965) 241-318. Zbl0152.13402MR219665
  9. (b) Harmonic analysis on real reductive groups I, J. Funct. Anal.19 (1975) 104-204. Zbl0315.43002MR399356
  10. (c) Harmonic analysis on real reductive groups, II. Inv. Math., 36 (1976) 1-55. Zbl0341.43010MR439993
  11. (d) Harmonic analysis on real reductive groups, III, Ann. of Math., 104 (1976) 117-201. Zbl0331.22007MR439994
  12. 7 R. Herb:(a) Fourier inversion of invariant integrals on semisimple real Lie groups, TAMS249 (1979) 281-302. Zbl0419.22015MR525674
  13. (b) Fourier inversion and the Plancherel theorem for semisimple real Lie gioups, Amer. J. Math.104 (1982) 9-58. Zbl0499.43007MR648480
  14. (c) Fourier inversion and the Plancherel theorem (Proc. Marseille Conf., 1980), Lecture Notes in Math., Vol. 880, Springer-Verlag, Berlin and New York, 197-210. Zbl0467.43005MR644834
  15. (d) Discrete series characters and Fourier inversion on semisimple real Lie groups, TAMS, 277 (1983) 241-261. Zbl0516.22007MR690050
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  17. 8 R. Herb and P. Sally: Singular invariant eigendistributions as characters in the Fourier transform of invariant distributions, J. Funct. Anal.33 (1979) 195-210. Zbl0417.22011MR546506
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  28. (c) Unitary representations on partially holomorphic cohomology spaces, Mem. AMS.138 (1974). Zbl0288.22022

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