The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets

Rebecca A. Herb

Compositio Mathematica (1992)

  • Volume: 84, Issue: 2, page 115-209
  • ISSN: 0010-437X

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Herb, Rebecca A.. "The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets." Compositio Mathematica 84.2 (1992): 115-209. <http://eudml.org/doc/90183>.

@article{Herb1992,
author = {Herb, Rebecca A.},
journal = {Compositio Mathematica},
keywords = {Schwartz space; semisimple Lie group; Plancherel formula; distribution characters; tempered representations; Cartan subgroups; Eisenstein integrals; wave packets},
language = {eng},
number = {2},
pages = {115-209},
publisher = {Kluwer Academic Publishers},
title = {The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets},
url = {http://eudml.org/doc/90183},
volume = {84},
year = {1992},
}

TY - JOUR
AU - Herb, Rebecca A.
TI - The Schwartz space of a general semisimple Lie group. IV : elementary mixed wave packets
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 84
IS - 2
SP - 115
EP - 209
LA - eng
KW - Schwartz space; semisimple Lie group; Plancherel formula; distribution characters; tempered representations; Cartan subgroups; Eisenstein integrals; wave packets
UR - http://eudml.org/doc/90183
ER -

References

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  1. [HC1] Harish-Chandra: Discrete series for semi-simple Lie groups, II, Acta Math. 116 (1966), 1-111. Zbl0199.20102MR219666
  2. [HC2] Harish-Chandra: Harmonic analysis on real reductive groups, I, J. Funct. Anal.19 (1975), 104-204. Zbl0315.43002MR399356
  3. [HC3] Harish-Chandra: Harmonic analysis on real reductive groups, II, Inv. Math.36 (1976), 1-55. Zbl0341.43010MR439993
  4. [HC4] Harish-Chandra: Harmonic analysis on real reductive groups, III, Annals of Math.104 (1976), 117-201. Zbl0331.22007MR439994
  5. [H1] R. Herb: The Schwartz space of a general semisimple Lie group, II, Wave packets associated to Schwartz functions, Trans. AMS.327 (1991), 1-70. Zbl0741.22006MR1014250
  6. [H2] R. Herb: The Schwartz space of a general semisimple Lie group, III, c-functions, to appear Advances in Math. Zbl0781.22006MR1215303
  7. [HW1] R. Herb and J. Wolf: The Plancherel theorem for general semisimple groups, Compositio Math.57 (1986), 271-355. Zbl0587.22005MR829325
  8. [HW2] R. Herb and J. Wolf: Rapidly decreasing functions on general semisimple groups, Compositio Math.58 (1986), 73-110. Zbl0587.22006MR834048
  9. [HW3] R. Herb and J. Wolf: Wave packets for the relative discrete series I: The holomorphic case, J. Funct. Anal.73 (1987), 1-37. Zbl0625.22010MR890655
  10. [HW4] R. Herb and J. Wolf: Wave packets for the relative discrete series II: The non-holomorphic case, J. Funct. Anal.73 (1987), 38-106. Zbl0625.22011MR890656
  11. [HW5] R. Herb and J. Wolf: The Schwartz space of a general semisimple group, I, Wave packets of Eisenstein integrals, Advances in Math.80 (1990), 164-224. Zbl0711.22005MR1046689
  12. [KM] H. Kraljevič and D. Miličiċ: The C*-algebra of the universal covering group of SL(2, R), Glasnik Mat. Ser. III7(27) (1972), 35-48. Zbl0248.22014MR340467
  13. [S] W. Schmid: Two character identities for semisimple Lie groups (Proc. Marseille Conf., 1976)Lecture Notes in Math., Vol. 587, Springer-Verlag, Berlin and New York, 1977. Zbl0362.22015MR507247
  14. [W] J. Wolf: Unitary representations on partially holomorphic cohomology spaces, Memoirs A.M.S., No. 138, 1974. Zbl0288.22022

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