Rapidly decreasing functions on general semisimple groups

Rebecca A. Herb; Joseph A. Wolf

Compositio Mathematica (1986)

  • Volume: 58, Issue: 1, page 73-110
  • ISSN: 0010-437X

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Herb, Rebecca A., and Wolf, Joseph A.. "Rapidly decreasing functions on general semisimple groups." Compositio Mathematica 58.1 (1986): 73-110. <http://eudml.org/doc/89766>.

@article{Herb1986,
author = {Herb, Rebecca A., Wolf, Joseph A.},
journal = {Compositio Mathematica},
keywords = {rapidly decreasing functions; Plancherel theorem; reductive Lie groups; Schwartz spaces},
language = {eng},
number = {1},
pages = {73-110},
publisher = {Martinus Nijhoff Publishers},
title = {Rapidly decreasing functions on general semisimple groups},
url = {http://eudml.org/doc/89766},
volume = {58},
year = {1986},
}

TY - JOUR
AU - Herb, Rebecca A.
AU - Wolf, Joseph A.
TI - Rapidly decreasing functions on general semisimple groups
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 58
IS - 1
SP - 73
EP - 110
LA - eng
KW - rapidly decreasing functions; Plancherel theorem; reductive Lie groups; Schwartz spaces
UR - http://eudml.org/doc/89766
ER -

References

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  1. [1] W. Casselman and D. Miličić: Asymptotic behavior of matrix coefficients of admissible representations, Duke Math . J.49 (1982) 869-930. Zbl0524.22014MR683007
  2. [2] Harish- Chandra: (a) Invariant eigendistributions on a semisimple Lie group. TAMS119 (1965) 457-508. Zbl0199.46402MR180631
  3. (b) Discrete series for semisimple Lie groups, I. Acta Math.113 (1965) 241-318. Zbl0152.13402MR219665
  4. (c) Discrete series for semisimple Lie groups, II. Acta Math.116 (1966) 1-111. Zbl0199.20102MR219666
  5. (d) Harmonic analysis on real reductive groups, I. J. Funct. Anal.19 (1975) 104-204. Zbl0315.43002MR399356
  6. (e) Harmonic analysis on real reductive groups, II. Inv. Math.36 (1976) 1-55. Zbl0341.43010MR439993
  7. (f) Harmonic analysis on real reductive groups, III. Ann. of Math.104 (1976) 117-201. Zbl0331.22007MR439994
  8. [3] R.A. Herb: Discrete series characters and Fourier inversion on semisimple real Lie groups. TAMS277 (1983) 241-261. Zbl0516.22007MR690050
  9. [4] R.A. Herb and J.A. Wolf: The Plancherel theorem for general semisimple groups. Comp. Math.57 (1986), 271-355. Zbl0587.22005MR829325
  10. [5] G. Warner: Harmonic Analysis on Semisimple Lie Groups, Vol. II, Springer-Verlag, Berlin and New York (1972). Zbl0265.22021
  11. [6] J.A. Wolf: Unitary representations on partially holomorphic cohomology spaces. Mem. AMS138 (1974). Zbl0288.22022

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