Length spectrum for compact locally symmetric spaces of strictly negative curvature

David L. Degeorge

Annales scientifiques de l'École Normale Supérieure (1977)

  • Volume: 10, Issue: 2, page 133-152
  • ISSN: 0012-9593

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Degeorge, David L.. "Length spectrum for compact locally symmetric spaces of strictly negative curvature." Annales scientifiques de l'École Normale Supérieure 10.2 (1977): 133-152. <http://eudml.org/doc/81992>.

@article{Degeorge1977,
author = {Degeorge, David L.},
journal = {Annales scientifiques de l'École Normale Supérieure},
language = {eng},
number = {2},
pages = {133-152},
publisher = {Elsevier},
title = {Length spectrum for compact locally symmetric spaces of strictly negative curvature},
url = {http://eudml.org/doc/81992},
volume = {10},
year = {1977},
}

TY - JOUR
AU - Degeorge, David L.
TI - Length spectrum for compact locally symmetric spaces of strictly negative curvature
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1977
PB - Elsevier
VL - 10
IS - 2
SP - 133
EP - 152
LA - eng
UR - http://eudml.org/doc/81992
ER -

References

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  1. [1] M. BERGER, Geometry of the Spectrum I (Proc. Symp. in Pure Math., XXVII, Vol. 2, A.M.S., Providence, R.I., 1975). Zbl0311.53055MR52 #4340
  2. [2] L. BÉRARD-BERGERY, Laplacien et géodésiques fermées sur les formes d'espace hyperbolique compactes (Séminaire Bourbaki, 24e année, 1971/1972, n° 406). Zbl0261.53034
  3. [3] A. BOREL, Représentations de groupes localement compacts (Lecture Notes in Math., N° 276, Springer-Verlag, Berlin, 1972). Zbl0242.22007MR54 #2871
  4. [4] J. DIEUDONNÉ, Treatise on Analysis Volume IV (Pure and Applied Math., Vol. 10-IV, Academic Press, New York, 1974). Zbl0292.58001MR50 #14508
  5. [5] R. GANGOLLI, Spectra of Discrete Subgroups (Proc. Symp. in Pure Math., Vol. XXVI, A.M.S., Providence, R.I., 1973). Zbl0294.22010MR51 #3355
  6. [6] S. HELGASON, (a) Differential Geometry and Symmetric Spaces (Pure and Appl. Math., Vol. 12, Academic Press, New York, 1962) ; (b) Functions on Symmetric Spaces (Proc. Symp. in Pure Math., Vol. XXVI, A.M.S., Providence, R.I., 1973). 
  7. [7] H. HUBER, Zur analytischen hyperbolischer Raumformen und Bewegungsgruppen II (Math. Ann., 142, 1961, pp. 385-398). Zbl0094.05703MR23 #A3845
  8. [8] B. KOSTANT, On the Existence and Irreducibility of Certain Series of Representations (Bull. Amer. Math. Soc., Vol. 75, N° 4, July, 1969 pp. 627-642). Zbl0229.22026MR39 #7031
  9. [9] R. P. LANGLANDS, Unpublished notes. 
  10. [10] G. A. MARGULIS, Applications of Ergodic Theory to the Investigation of Manifolds of Negative Curvature J. Funct. Anal. and Appl., Vol. 3, 1969, pp. 335-336). Zbl0207.20305MR41 #2582
  11. [11] H. P. MCKEAN, Selberg's Trace Formula as Applied to a Compact Riemann Surface (Comm. Pure and Appl. Math., Vol. XXV, 1972, pp. 225-246). MR57 #12843a
  12. [12] G. D. MOSTOW, Strong Rigidity of Locally Symmetric Spaces (Ann. of Math. Studies, No. 78, Princeton University Press, Princeton, N.J. 1973). Zbl0265.53039MR52 #5874
  13. [13] A. PREISSMANN, Quelques propriétés globales des espaces de Riemann (Comment. Math. Helv., 15, 1943, pp. 175-216). Zbl0027.25903MR6,20g
  14. [14] N. R. WALLACH, (a) Harmonic Analysis on Homogeneous Spaces (Pure and Appl. Math., No. 19, Marcel Dekker, New York, 1973) ; (b) On the Selberg Trace Formula in the Case of Compact Quotient (Bull. Amer. Math. Soc., 82, No. 2, 1976, pp. 171-195). MR58 #16978
  15. [15] G. WARNER, (a) Harmonic Analysis on Semi-Simple Lie Groups I, (Die Grund. Math. Wiss., B, 188, Springer-Verlag, Berlin, 1972) ; (b) Harmonic Analysis on Semi-Simple Lie Groups II (Die Grund.) Math. Wiss., B, 189, Springer-Verlag, Berlin, 1972). Zbl0265.22021MR58 #16979

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